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416057890056 = 233411812336039
BaseRepresentation
bin1100000110111101111…
…10111001010100001000
31110202220210022201000120
412003132332321110020
523304041304440211
6515045004303240
742026205500004
oct6033676712410
91422823281016
10416057890056
111504a3917916
1268774b41b20
13303073b3033
14161ccac3704
15ac51526d06
hex60defb9508

416057890056 has 64 divisors (see below), whose sum is σ = 1071401385600. Its totient is φ = 134555788800.

The previous prime is 416057890049. The next prime is 416057890123. The reversal of 416057890056 is 650098750614.

416057890056 is digitally balanced in base 4, 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 = 416057889990 and 416057890008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989916 + ... + 1346123.

It is an arithmetic number, because the mean of its divisors is an integer number (16740646650).

Almost surely, 2416057890056 is an apocalyptic number.

It is an amenable number.

416057890056 is an abundant number, since it is smaller than the sum of its proper divisors (655343495544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416057890056 is a wasteful number, since it uses less digits than its factorization.

416057890056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336270 (or 2336266 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 416057890056 in words is "four hundred sixteen billion, fifty-seven million, eight hundred ninety thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 181 246 328 362 492 543 724 984 1086 1448 2172 4344 7421 14842 22263 29684 44526 59368 89052 178104 2336039 4672078 7008117 9344156 14016234 18688312 28032468 56064936 95777599 191555198 287332797 383110396 422823059 574665594 766220792 845646118 1149331188 1268469177 1691292236 2298662376 2536938354 3382584472 5073876708 10147753416 17335745419 34671490838 52007236257 69342981676 104014472514 138685963352 208028945028 416057890056