| Base | Representation |
|---|---|
| bin | 101011011111101100011… |
| … | …1111010000000000000000 |
| 3 | 210011111002220200211000000 |
| 4 | 1112333120333100000000 |
| 5 | 1240420310112434000 |
| 6 | 20414121104000000 |
| 7 | 1154614632223110 |
| oct | 126773077200000 |
| 9 | 23144086624000 |
| 10 | 5977939968000 |
| 11 | 19a52592a3950 |
| 12 | 806694000000 |
| 13 | 344942c4c420 |
| 14 | 1694960a3040 |
| 15 | a577744c000 |
| hex | 56fd8fd0000 |
5977939968000 has 3808 divisors, whose sum is σ = 30036591067392. Its totient is φ = 1146617856000.
The previous prime is 5977939967977. The next prime is 5977939968017. The reversal of 5977939968000 is 8699397795.
It is a happy number.
It is a Jordan-Polya number, since it can be written as 13! ⋅ 5! ⋅ (2!)3.
5977939968000 is a `hidden beast` number, since 5 + 97 + 79 + 399 + 6 + 80 + 0 + 0 = 666.
It is a super-2 number, since 2×59779399680002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 5977939968000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 459841535994 + ... + 459841536006.
Almost surely, 25977939968000 is an apocalyptic number.
5977939968000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5977939968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018295533696).
5977939968000 is an abundant number, since it is smaller than the sum of its proper divisors (24058651099392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5977939968000 is an frugal number, since it uses more digits than its factorization.
5977939968000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 231472080, while the sum is 72.
The spelling of 5977939968000 in words is "five trillion, nine hundred seventy-seven billion, nine hundred thirty-nine million, nine hundred sixty-eight thousand".
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