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57634540224 = 26317121314557
BaseRepresentation
bin110101101011010010…
…010100101011000000
312111202122112222221220
4311223102110223000
51421013420241344
642251004115040
74110144336342
oct655322245300
9174678488856
1057634540224
1122496217128
12b205835a80
135586675c51
142b0a665292
151774c50c19
hexd6b494ac0

57634540224 has 112 divisors (see below), whose sum is σ = 161605679328. Its totient is φ = 18065276928.

The previous prime is 57634540199. The next prime is 57634540237. The reversal of 57634540224 is 42204543675.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 3951954 + ... + 3966510.

Almost surely, 257634540224 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 57634540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80802839664).

57634540224 is an abundant number, since it is smaller than the sum of its proper divisors (103971139104).

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

57634540224 is a wasteful number, since it uses less digits than its factorization.

57634540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15802 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 57634540224 in words is "fifty-seven billion, six hundred thirty-four million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1213 1632 2426 3264 3639 4852 7278 9704 14556 14557 19408 20621 29112 29114 38816 41242 43671 58224 58228 61863 77632 82484 87342 116448 116456 123726 164968 174684 232896 232912 247452 247469 329936 349368 465824 494904 494938 659872 698736 742407 931648 989808 989876 1319744 1397472 1484814 1979616 1979752 2794944 2969628 3959232 3959504 5939256 7919008 11878512 15838016 17657641 23757024 35315282 47514048 52972923 70630564 105945846 141261128 211891692 282522256 300179897 423783384 565044512 600359794 847566768 900539691 1130089024 1200719588 1695133536 1801079382 2401439176 3390267072 3602158764 4802878352 7204317528 9605756704 14408635056 19211513408 28817270112 57634540224