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57375086706 = 23274319354869
BaseRepresentation
bin110101011011110100…
…100101100001110010
312111002120100101122100
4311123310211201302
51420001010233311
642205135121230
74100544122160
oct653364454162
9174076311570
1057375086706
1122372816933
12b152973216
1355449a3662
142ac4008230
15175c0a0a56
hexd5bd25872

57375086706 has 96 divisors (see below), whose sum is σ = 146131539840. Its totient is φ = 15928399872.

The previous prime is 57375086633. The next prime is 57375086707. The reversal of 57375086706 is 60768057375.

57375086706 is a `hidden beast` number, since 5 + 73 + 7 + 508 + 67 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (57375086707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018240 + ... + 1073108.

It is an arithmetic number, because the mean of its divisors is an integer number (1522203540).

Almost surely, 257375086706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57375086706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73065769920).

57375086706 is an abundant number, since it is smaller than the sum of its proper divisors (88756453134).

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

57375086706 is a wasteful number, since it uses less digits than its factorization.

57375086706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55120 (or 55117 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 57375086706 in words is "fifty-seven billion, three hundred seventy-five million, eighty-six thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 193 258 301 386 387 579 602 774 903 1158 1351 1737 1806 2702 2709 3474 4053 5418 8106 8299 12159 16598 24318 24897 49794 54869 58093 74691 109738 116186 149382 164607 174279 329214 348558 384083 493821 522837 768166 987642 1045674 1152249 2304498 2359367 3456747 4718734 6913494 7078101 10589717 14156202 16515569 21179434 21234303 31769151 33031138 42468606 49546707 63538302 74128019 95307453 99093414 148256038 148640121 190614906 222384057 297280242 444768114 455357831 667152171 910715662 1334304342 1366073493 2732146986 3187504817 4098220479 6375009634 8196440958 9562514451 19125028902 28687543353 57375086706