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57141734496 = 2537117730213
BaseRepresentation
bin110101001101111010…
…011010110001100000
312110111022020212120220
4311031322122301200
51414011241000441
642130041403040
74062011505060
oct651572326140
9173438225526
1057141734496
1122263023970
12b0a8799480
13550853c622
142aa10233a0
151746859466
hexd4de9ac60

57141734496 has 96 divisors (see below), whose sum is σ = 187009337088. Its totient is φ = 14842007040.

The previous prime is 57141734479. The next prime is 57141734501. The reversal of 57141734496 is 69443714175.

57141734496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×571417344962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 3857715 + ... + 3872498.

It is an arithmetic number, because the mean of its divisors is an integer number (1948013928).

Almost surely, 257141734496 is an apocalyptic number.

57141734496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57141734496 is an abundant number, since it is smaller than the sum of its proper divisors (129867602592).

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

57141734496 is a wasteful number, since it uses less digits than its factorization.

57141734496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730244 (or 7730236 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The spelling of 57141734496 in words is "fifty-seven billion, one hundred forty-one million, seven hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 7730213 15460426 23190639 30920852 46381278 54111491 61841704 85032343 92762556 108222982 123683408 162334473 170064686 185525112 216445964 247366816 255097029 324668946 340129372 371050224 432891928 510194058 595226401 649337892 680258744 742100448 865783856 1020388116 1190452802 1298675784 1360517488 1731567712 1785679203 2040776232 2380905604 2597351568 2721034976 3571358406 4081552464 4761811208 5194703136 7142716812 8163104928 9523622416 14285433624 19047244832 28570867248 57141734496