| Base | Representation |
|---|---|
| bin | 1110011101111101010100… |
| … | …10111001001110010000000 |
| 3 | 11011122112211111202002211000 |
| 4 | 13032332222113021302000 |
| 5 | 13132232003311120233 |
| 6 | 151355531055252000 |
| 7 | 6462415143030564 |
| oct | 716765227116200 |
| 9 | 134575744662730 |
| 10 | 31815680957568 |
| 11 | a156a55516202 |
| 12 | 369a11321a000 |
| 13 | 149a28a303271 |
| 14 | 7bdc5c59b6a4 |
| 15 | 3a28eb306d13 |
| hex | 1cefaa5c9c80 |
31815680957568 has 384 divisors, whose sum is σ = 99770120553600. Its totient is φ = 9977797969920.
The previous prime is 31815680957531. The next prime is 31815680957573. The reversal of 31815680957568 is 86575908651813.
31815680957568 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 5 + 6 + 8 + 0 + 9 + 57 + 568 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 31815680957496 and 31815680957505.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111379021 + ... + 111664307.
It is an arithmetic number, because the mean of its divisors is an integer number (259818022275).
Almost surely, 231815680957568 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31815680957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49885060276800).
31815680957568 is an abundant number, since it is smaller than the sum of its proper divisors (67954439596032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31815680957568 is a wasteful number, since it uses less digits than its factorization.
31815680957568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 285417 (or 285376 counting only the distinct ones).
The product of its (nonzero) digits is 435456000, while the sum is 72.
The spelling of 31815680957568 in words is "thirty-one trillion, eight hundred fifteen billion, six hundred eighty million, nine hundred fifty-seven thousand, five hundred sixty-eight".
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