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56734356096 = 2733112135671
BaseRepresentation
bin110100110101101000…
…011001001010000000
312102102220200220111000
4310311220121022000
51412142443343341
642021410052000
74045634032665
oct646550311200
9172386626430
1056734356096
1122074079500
12abb427a000
135472016812
142a62c9ba6c
151720bd98b6
hexd35a19280

56734356096 has 192 divisors, whose sum is σ = 184052635200. Its totient is φ = 17192102400.

The previous prime is 56734356083. The next prime is 56734356101. The reversal of 56734356096 is 69065343765.

56734356096 is a `hidden beast` number, since 5 + 6 + 73 + 4 + 3 + 560 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×567343560962 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350341 + ... + 486011.

It is an arithmetic number, because the mean of its divisors is an integer number (958607475).

Almost surely, 256734356096 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 56734356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92026317600).

56734356096 is an abundant number, since it is smaller than the sum of its proper divisors (127318279104).

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

56734356096 is a wasteful number, since it uses less digits than its factorization.

56734356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135716 (or 135687 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 56734356096 in words is "fifty-six billion, seven hundred thirty-four million, three hundred fifty-six thousand, ninety-six".