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23071537447056 = 2433731723240503
BaseRepresentation
bin1010011111011110000101…
…10010110100000010010000
310000200121200010001121212000
411033233002302310002100
511011001002041301211
6121022530141234000
74600602130366410
oct517570262640220
9100617603047760
1023071537447056
11739564746258a
122707503262900
13cb4837932067
1459a95001a640
152a0224b80656
hex14fbc2cb4090

23071537447056 has 160 divisors (see below), whose sum is σ = 75687109048320. Its totient is φ = 6591632639616.

The previous prime is 23071537447037. The next prime is 23071537447073. The reversal of 23071537447056 is 65074473517032.

23071537447056 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 1 + 53 + 74 + 470 + 56 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 23071537446993 and 23071537447011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95810101 + ... + 96050603.

It is an arithmetic number, because the mean of its divisors is an integer number (473044431552).

Almost surely, 223071537447056 is an apocalyptic number.

It is an amenable number.

23071537447056 is an abundant number, since it is smaller than the sum of its proper divisors (52615571601264).

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

23071537447056 is a wasteful number, since it uses less digits than its factorization.

23071537447056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272250 (or 272238 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 23071537447056 in words is "twenty-three trillion, seventy-one billion, five hundred thirty-seven million, four hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 31723 63446 95169 126892 190338 222061 240503 253784 285507 380676 444122 481006 507568 571014 666183 721509 761352 856521 888244 962012 1142028 1332366 1443018 1522704 1683521 1713042 1776488 1924024 1998549 2164527 2284056 2664732 2886036 3367042 3426084 3552976 3848048 3997098 4329054 4568112 5050563 5329464 5772072 5995647 6493581 6734084 6852168 7994196 8658108 10101126 10658928 11544144 11991294 12987162 13468168 13704336 15151689 15988392 17316216 20202252 23982588 25974324 26936336 30303378 31976784 34632432 40404504 45455067 47965176 51948648 60606756 80809008 90910134 95930352 103897296 121213512 181820268 242427024 363640536 727281072 7629476669 15258953338 22888430007 30517906676 45776860014 53406336683 61035813352 68665290021 91553720028 106812673366 122071626704 137330580042 160219010049 183107440056 205995870063 213625346732 274661160084 320438020098 366214880112 411991740126 427250693464 480657030147 549322320168 640876040196 823983480252 854501386928 961314060294 1098644640336 1281752080392 1441971090441 1647966960504 1922628120588 2563504160784 2883942180882 3295933921008 3845256241176 5767884361764 7690512482352 11535768723528 23071537447056