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56233812096 = 27327112343641
BaseRepresentation
bin110100010111110010…
…111110000010000000
312101011000211122012100
4310113302332002000
51410131323441341
641500005430400
74030345342020
oct642762760200
9171130748170
1056233812096
1121937580380
12aa9470b400
1353c2400c37
142a16603a80
1516e1cb53b6
hexd17cbe080

56233812096 has 768 divisors, whose sum is σ = 215751444480. Its totient is φ = 13624934400.

The previous prime is 56233812077. The next prime is 56233812121. The reversal of 56233812096 is 69021833265.

56233812096 is a `hidden beast` number, since 5 + 62 + 3 + 381 + 209 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87727936 + ... + 87728576.

It is an arithmetic number, because the mean of its divisors is an integer number (280926360).

Almost surely, 256233812096 is an apocalyptic number.

56233812096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56233812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107875722240).

56233812096 is an abundant number, since it is smaller than the sum of its proper divisors (159517632384).

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

56233812096 is a wasteful number, since it uses less digits than its factorization.

56233812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56233812096 in words is "fifty-six billion, two hundred thirty-three million, eight hundred twelve thousand, ninety-six".