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56263859820 = 223357193137683
BaseRepresentation
bin110100011001100101…
…100101111001101100
312101020010101012221000
4310121211211321230
51410212022003240
641503001440300
74031161626510
oct643145457154
9171203335830
1056263859820
1121952533703
12aaa27a0090
1353c86c185c
142a1a5c6140
1516e474d430
hexd19965e6c

56263859820 has 768 divisors, whose sum is σ = 223572787200. Its totient is φ = 11454981120.

The previous prime is 56263859809. The next prime is 56263859863. The reversal of 56263859820 is 2895836265.

56263859820 is a `hidden beast` number, since 5 + 6 + 26 + 3 + 8 + 598 + 20 = 666.

It is a super-2 number, since 2×562638598202 (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82377199 + ... + 82377881.

It is an arithmetic number, because the mean of its divisors is an integer number (291110400).

Almost surely, 256263859820 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 56263859820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111786393600).

56263859820 is an abundant number, since it is smaller than the sum of its proper divisors (167308927380).

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

56263859820 is a wasteful number, since it uses less digits than its factorization.

56263859820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56263859820 in words is "fifty-six billion, two hundred sixty-three million, eight hundred fifty-nine thousand, eight hundred twenty".