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57567481314896 = 24717127238071037
BaseRepresentation
bin11010001011011011110010…
…10001100011111001010000
321112211101201202022221012202
431011231321101203321100
530021141200204034041
6322234045200542332
715061053565320260
oct1505557121437120
9245741652287182
1057567481314896
111738526046a563
126558b690219a8
1326177898717a7
1410303d0d637a0
1569c6e03d5a9b
hex345b79463e50

57567481314896 has 80 divisors (see below), whose sum is σ = 136031886544896. Its totient is φ = 23037658011648.

The previous prime is 57567481314887. The next prime is 57567481314901. The reversal of 57567481314896 is 69841318476575.

57567481314896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×575674813148962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118793711 + ... + 119277326.

Almost surely, 257567481314896 is an apocalyptic number.

57567481314896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57567481314896 is an abundant number, since it is smaller than the sum of its proper divisors (78464405230000).

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

57567481314896 is a wasteful number, since it uses less digits than its factorization.

57567481314896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238071196 (or 238071190 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 74.

The spelling of 57567481314896 in words is "fifty-seven trillion, five hundred sixty-seven billion, four hundred eighty-one million, three hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 127 136 238 254 272 476 508 889 952 1016 1778 1904 2032 2159 3556 4318 7112 8636 14224 15113 17272 30226 34544 60452 120904 241808 238071037 476142074 952284148 1666497259 1904568296 3332994518 3809136592 4047207629 6665989036 8094415258 13331978072 16188830516 26663956144 28330453403 30235021699 32377661032 56660906806 60470043398 64755322064 113321813612 120940086796 211645151893 226643627224 241880173592 423290303786 453287254448 483760347184 513995368883 846580607572 1027990737766 1693161215144 2055981475532 3386322430288 3597967582181 4111962951064 7195935164362 8223925902128 14391870328724 28783740657448 57567481314896