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57761933814 = 2341341668959
BaseRepresentation
bin110101110010111000…
…010010100111110110
312112002112021021010000
4311302320102213312
51421244023340224
642311354412130
74113252223254
oct656270224766
9175075237100
1057761933814
1122551118892
12b240431046
1355a6b8b280
142b1d5475d4
1517810170c9
hexd72e129f6

57761933814 has 80 divisors (see below), whose sum is σ = 142785498240. Its totient is φ = 17339391360.

The previous prime is 57761933807. The next prime is 57761933833. The reversal of 57761933814 is 41833916775.

57761933814 is a `hidden beast` number, since 5 + 7 + 7 + 619 + 3 + 3 + 8 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248134 + ... + 420825.

It is an arithmetic number, because the mean of its divisors is an integer number (1784818728).

Almost surely, 257761933814 is an apocalyptic number.

57761933814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57761933814 is an abundant number, since it is smaller than the sum of its proper divisors (85023564426).

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

57761933814 is a wasteful number, since it uses less digits than its factorization.

57761933814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669027 (or 669018 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 57761933814 in words is "fifty-seven billion, seven hundred sixty-one million, nine hundred thirty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 533 702 738 1053 1066 1107 1599 2106 2214 3198 3321 4797 6642 9594 14391 28782 43173 86346 668959 1337918 2006877 4013754 6020631 8696467 12041262 17392934 18061893 26089401 27427319 36123786 52178802 54185679 54854638 78268203 82281957 108371358 156536406 164563914 234804609 246845871 356555147 469609218 493691742 704413827 713110294 740537613 1069665441 1408827654 1481075226 2139330882 2221612839 3208996323 4443225678 6417992646 9626988969 19253977938 28880966907 57761933814