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56353764768 = 2537211979967
BaseRepresentation
bin110100011110111100…
…100011010110100000
312101110101112212022220
4310132330203112200
51410403030433033
641515532431040
74033333045200
oct643674432640
9171411485286
1056353764768
112199925a614
12ab08918480
13541120c452
142a2850a400
1516ec5abbb3
hexd1ef235a0

56353764768 has 72 divisors (see below), whose sum is σ = 172080260352. Its totient is φ = 16101074304.

The previous prime is 56353764757. The next prime is 56353764769. The reversal of 56353764768 is 86746735365.

56353764768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56353764769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5985280 + ... + 5994687.

It is an arithmetic number, because the mean of its divisors is an integer number (2390003616).

Almost surely, 256353764768 is an apocalyptic number.

It is an amenable number.

56353764768 is an abundant number, since it is smaller than the sum of its proper divisors (115726495584).

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

56353764768 is a wasteful number, since it uses less digits than its factorization.

56353764768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979994 (or 11979979 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 60.

It can be divided in two parts, 56353 and 764768, that added together give a triangular number (821121 = T1281).

The spelling of 56353764768 in words is "fifty-six billion, three hundred fifty-three million, seven hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 11979967 23959934 35939901 47919868 71879802 83859769 95839736 143759604 167719538 191679472 251579307 287519208 335439076 383358944 503158614 575038416 587018383 670878152 1006317228 1150076832 1174036766 1341756304 1761055149 2012634456 2348073532 2683512608 3522110298 4025268912 4696147064 7044220596 8050537824 9392294128 14088441192 18784588256 28176882384 56353764768