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56231304192 = 21037717211
BaseRepresentation
bin110100010111101001…
…011001110000000000
312101010212010020000000
4310113221121300000
51410130203213232
641455440000000
74030315125240
oct642751316000
9171125106000
1056231304192
1121936118128
12aa93900000
1353c1a3357b
142a1614db20
1516e196c27c
hexd17a59c00

56231304192 has 704 divisors, whose sum is σ = 204969876480. Its totient is φ = 15049359360.

The previous prime is 56231304191. The next prime is 56231304197. The reversal of 56231304192 is 29140313265.

56231304192 is a `hidden beast` number, since 5 + 6 + 231 + 3 + 0 + 419 + 2 = 666.

It is a super-3 number, since 3×562313041923 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56231304191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266498967 + ... + 266499177.

Almost surely, 256231304192 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 56231304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102484938240).

56231304192 is an abundant number, since it is smaller than the sum of its proper divisors (148738572288).

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

56231304192 is an equidigital number, since it uses as much as digits as its factorization.

56231304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 56231304192 in words is "fifty-six billion, two hundred thirty-one million, three hundred four thousand, one hundred ninety-two".