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57344945818032 = 24323118170972873
BaseRepresentation
bin11010000100111101010010…
…01000000000100110110000
321112001010022212112101122100
431002132221020000212300
530004014422112134112
6321543523204540400
715036015133646235
oct1502365110004660
9245033285471570
1057344945818032
11172a9944a30a94
126521a023b1700
1325cc7b379a5b2
14102371dd4978c
15696a188072dc
hex3427a92009b0

57344945818032 has 120 divisors (see below), whose sum is σ = 166578445324928. Its totient is φ = 18396168422400.

The previous prime is 57344945818009. The next prime is 57344945818087. The reversal of 57344945818032 is 23081854944375.

It is a happy number.

57344945818032 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 49 + 4 + 581 + 8 + 0 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34678453 + ... + 36294420.

Almost surely, 257344945818032 is an apocalyptic number.

It is an amenable number.

57344945818032 is an abundant number, since it is smaller than the sum of its proper divisors (109233499506896).

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

57344945818032 is a wasteful number, since it uses less digits than its factorization.

57344945818032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70973099 (or 70973090 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 57344945818032 in words is "fifty-seven trillion, three hundred forty-four billion, nine hundred forty-five million, eight hundred eighteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 181 186 248 279 362 372 496 543 558 724 744 1086 1116 1448 1488 1629 2172 2232 2896 3258 4344 4464 5611 6516 8688 11222 13032 16833 22444 26064 33666 44888 50499 67332 89776 100998 134664 201996 269328 403992 807984 70972873 141945746 212918619 283891492 425837238 567782984 638755857 851674476 1135565968 1277511714 1703348952 2200159063 2555023428 3406697904 4400318126 5110046856 6600477189 8800636252 10220093712 12846090013 13200954378 17601272504 19801431567 25692180026 26401908756 35202545008 38538270039 39602863134 51384360052 52803817512 77076540078 79205726268 102768720104 105607635024 115614810117 154153080156 158411452536 205537440208 231229620234 308306160312 316822905072 398228790403 462459240468 616612320624 796457580806 924918480936 1194686371209 1592915161612 1849836961872 2389372742418 3185830323224 3584059113627 4778745484836 6371660646448 7168118227254 9557490969672 14336236454508 19114981939344 28672472909016 57344945818032