9223372036854775807
| 9223372036854775807 | |
|---|---|
| Cardinal | nine quintillion two hundred twenty-three quadrillion three hundred seventy-two trillion thirty-six billion eight hundred fifty-four million seven hundred seventy-five thousand eight hundred seven |
| Ordinal | 9223372036854775807th (nine quintillion two hundred twenty-three quadrillion three hundred seventy-two trillion thirty-six billion eight hundred fifty-four million seven hundred seventy-five thousand eight hundred seventh) |
| Factorization | 72 × 73 × 127 × 337 × 92737 × 649657 |
| Roman numeral | N/A |
The number 9,223,372,036,854,775,807 is an integer equal to 263 − 1. It has a factorization of 72 · 73 · 127 · 337 · 92737 · 649657, which is equal to Φ1(2) · Φ3(2) · Φ7(2) · Φ9(2) · Φ21(2) · Φ63(2).
The number 9,223,372,036,854,775,807, equivalent to the hexadecimal value 7FFF,FFFF,FFFF,FFFF16, is the maximum value for a 64-bit signed integer in computing. It is therefore the maximum value for a variable declared as a long integer (long, long long int, or bigint) in many programming languages running on modern computers. The presence of the value may reflect an error, overflow condition, or missing value.
This value is also the largest positive signed address offset for 64-bit CPUs utilizing sign-extended memory addressing (such as the AMD x86-64 architecture, which calls this "canonical form" extended addressing). Being an odd value, its appearance may reflect an erroneous (misaligned) memory address. Such a value may also be used as a sentinel value to initialize newly allocated memory for debugging purposes.
The C standard library data type time_t, used on operating systems such as Unix, is typically implemented as either a 32-bit or a 64-bit signed integer value, counting the number of seconds since the start of the Unix epoch (midnight UTC of 1 January 1970). Systems employing a 32-bit type are susceptible to the Year 2038 problem, so many implementations have moved to a wider 64-bit type, with a maximal value of 263−1 corresponding to a number of seconds 292 billion years from the start of Unix time.
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