| Base | Representation |
|---|---|
| bin | 11001101011000101100100… |
| … | …00110101100111100111000 |
| 3 | 21101220010220101002201211100 |
| 4 | 30311202302012230330320 |
| 5 | 24344433431242140211 |
| 6 | 320023313530331400 |
| 7 | 14614546154132430 |
| oct | 1465426206547470 |
| 9 | 241803811081740 |
| 10 | 56456038240056 |
| 11 | 16a96964865024 |
| 12 | 63b9684b89b60 |
| 13 | 2566a21128320 |
| 14 | dd26b5c112c0 |
| 15 | 67d840024156 |
| hex | 3358b21acf38 |
56456038240056 has 384 divisors, whose sum is σ = 190034616844800. Its totient is φ = 14743434101760.
The previous prime is 56456038239989. The next prime is 56456038240067. The reversal of 56456038240056 is 65004283065465.
56456038240056 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 603 + 8 + 24 + 0 + 0 + 5 + 6 = 666.
56456038240056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 56456038239984 and 56456038240011.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 1590696471 + ... + 1590731961.
It is an arithmetic number, because the mean of its divisors is an integer number (494881814700).
Almost surely, 256456038240056 is an apocalyptic number.
56456038240056 is a gapful number since it is divisible by the number (56) 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 56456038240056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95017308422400).
56456038240056 is an abundant number, since it is smaller than the sum of its proper divisors (133578578604744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56456038240056 is a wasteful number, since it uses less digits than its factorization.
56456038240056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37899 (or 37892 counting only the distinct ones).
The product of its (nonzero) digits is 20736000, while the sum is 54.
The spelling of 56456038240056 in words is "fifty-six trillion, four hundred fifty-six billion, thirty-eight million, two hundred forty thousand, fifty-six".
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