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76701256820704 = 2517271911535217
BaseRepresentation
bin10001011100001001100111…
…001010101010011111100000
3101001120120100110120211022201
4101130021213022222133200
540023133133221230304
6431044023153542544
722104324434542105
oct2134114712523740
9331516313524281
1076701256820704
112249190297216a
128729273874a54
1333a4b88a00a09
1414d250983aaac
158d02980473a4
hex45c2672aa7e0

76701256820704 has 72 divisors (see below), whose sum is σ = 160633908963360. Its totient is φ = 36044504702976.

The previous prime is 76701256820693. The next prime is 76701256820731. The reversal of 76701256820704 is 40702865210767.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881704 + ... + 12416920.

It is an arithmetic number, because the mean of its divisors is an integer number (2231026513380).

Almost surely, 276701256820704 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 76701256820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80316954481680).

76701256820704 is an abundant number, since it is smaller than the sum of its proper divisors (83932652142656).

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

76701256820704 is a wasteful number, since it uses less digits than its factorization.

76701256820704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535980 (or 11535955 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 76701256820704 in words is "seventy-six trillion, seven hundred one billion, two hundred fifty-six million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 719 1156 1438 2312 2876 4624 5752 9248 11504 12223 23008 24446 48892 97784 195568 207791 391136 415582 831164 1662328 3324656 6649312 11535217 23070434 46140868 92281736 184563472 196098689 369126944 392197378 784394756 1568789512 3137579024 3333677713 6275158048 6667355426 8293821023 13334710852 16587642046 26669421704 33175284092 53338843408 66350568184 106677686816 132701136368 140994957391 265402272736 281989914782 563979829564 1127959659128 2255919318256 2396914275647 4511838636512 4793828551294 9587657102588 19175314205176 38350628410352 76701256820704