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57031290432 = 2633109302791
BaseRepresentation
bin110101000111010101…
…000110111001000000
312110012121102201211000
4311013111012321000
51413300002243212
642111054252000
74056200653524
oct650725067100
9173177381730
1057031290432
1122206749686
12b0777b7000
1354bb6b00cc
142a904b3d84
15173bce01dc
hexd47546e40

57031290432 has 112 divisors (see below), whose sum is σ = 169200169600. Its totient is φ = 18835960320.

The previous prime is 57031290427. The next prime is 57031290487. The reversal of 57031290432 is 23409213075.

57031290432 is a `hidden beast` number, since 570 + 31 + 29 + 0 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36957 + ... + 339747.

It is an arithmetic number, because the mean of its divisors is an integer number (1510715800).

Almost surely, 257031290432 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 57031290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84600084800).

57031290432 is an abundant number, since it is smaller than the sum of its proper divisors (112168879168).

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

57031290432 is a wasteful number, since it uses less digits than its factorization.

57031290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302921 (or 302905 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 57031290432 in words is "fifty-seven billion, thirty-one million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 144 192 216 218 288 327 432 436 576 654 864 872 981 1308 1728 1744 1962 2616 2943 3488 3924 5232 5886 6976 7848 10464 11772 15696 20928 23544 31392 47088 62784 94176 188352 302791 605582 908373 1211164 1816746 2422328 2725119 3633492 4844656 5450238 7266984 8175357 9689312 10900476 14533968 16350714 19378624 21800952 29067936 32701428 33004219 43601904 58135872 65402856 66008438 87203808 99012657 130805712 132016876 174407616 198025314 261611424 264033752 297037971 396050628 523222848 528067504 594075942 792101256 891113913 1056135008 1188151884 1584202512 1782227826 2112270016 2376303768 3168405024 3564455652 4752607536 6336810048 7128911304 9505215072 14257822608 19010430144 28515645216 57031290432