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56320407688104 = 233275031471151027
BaseRepresentation
bin11001100111001000111011…
…11001001101001110101000
321101102011211001021210222100
430303210131321031032220
524340223143332004404
6315441123233053400
714602005130353630
oct1463443571151650
9241364731253870
1056320407688104
1116a4439496297a
1263973326b7260
132556cb7890061
14dc9ccaa276c0
1567a052c03d39
hex33391de4d3a8

56320407688104 has 192 divisors, whose sum is σ = 174791542947840. Its totient is φ = 16048530207360.

The previous prime is 56320407688099. The next prime is 56320407688151. The reversal of 56320407688104 is 40188670402365.

It is a happy number.

56320407688104 is a `hidden beast` number, since 56 + 3 + 2 + 0 + 407 + 6 + 88 + 104 = 666.

It is a super-2 number, since 2×563204076881042 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372840639 + ... + 372991665.

It is an arithmetic number, because the mean of its divisors is an integer number (910372619520).

Almost surely, 256320407688104 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 56320407688104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87395771473920).

56320407688104 is an abundant number, since it is smaller than the sum of its proper divisors (118471135259736).

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

56320407688104 is a wasteful number, since it uses less digits than its factorization.

56320407688104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153020 (or 153013 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 56320407688104 in words is "fifty-six trillion, three hundred twenty billion, four hundred seven million, six hundred eighty-eight thousand, one hundred four".