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56034234864 = 2433196826783
BaseRepresentation
bin110100001011111001…
…101001000111110000
312100122010022001201000
4310023321221013300
51404224231003424
641424120042000
74022403065136
oct641371510760
9170563261630
1056034234864
1121844957013
12aa39903300
13538cc641ba
1429d7cd1756
1516ce4e13c9
hexd0be691f0

56034234864 has 80 divisors (see below), whose sum is σ = 169304243200. Its totient is φ = 17695018944.

The previous prime is 56034234847. The next prime is 56034234887. The reversal of 56034234864 is 46843243065.

56034234864 is a `hidden beast` number, since 5 + 603 + 4 + 2 + 34 + 8 + 6 + 4 = 666.

56034234864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405184 + ... + 3421599.

It is an arithmetic number, because the mean of its divisors is an integer number (2116303040).

Almost surely, 256034234864 is an apocalyptic number.

56034234864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56034234864 is an abundant number, since it is smaller than the sum of its proper divisors (113270008336).

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

56034234864 is a wasteful number, since it uses less digits than its factorization.

56034234864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826819 (or 6826807 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 56034234864 in words is "fifty-six billion, thirty-four million, two hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 6826783 13653566 20480349 27307132 40960698 54614264 61441047 81921396 109228528 122882094 129708877 163842792 184323141 245764188 259417754 327685584 368646282 389126631 491528376 518835508 737292564 778253262 983056752 1037671016 1167379893 1474585128 1556506524 2075342032 2334759786 2949170256 3113013048 3502139679 4669519572 6226026096 7004279358 9339039144 14008558716 18678078288 28017117432 56034234864