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56188822608 = 24344147149151
BaseRepresentation
bin110100010101000111…
…010110010001010000
312101000220011221020000
4310111013112101100
51410033314310413
641451321250000
74026261053232
oct642507262120
9171026157200
1056188822608
1121914142086
12aa81633900
1353b5cab339
142a10652252
1516dcd7a073
hexd151d6450

56188822608 has 400 divisors, whose sum is σ = 172413964800. Its totient is φ = 17646336000.

The previous prime is 56188822597. The next prime is 56188822619. The reversal of 56188822608 is 80622888165.

It is a happy number.

56188822608 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 8 + 8 + 22 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (56188822597) and next prime (56188822619).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 372111333 + ... + 372111483.

It is an arithmetic number, because the mean of its divisors is an integer number (431034912).

Almost surely, 256188822608 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 56188822608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86206982400).

56188822608 is an abundant number, since it is smaller than the sum of its proper divisors (116225142192).

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

56188822608 is a wasteful number, since it uses less digits than its factorization.

56188822608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 56188822608 in words is "fifty-six billion, one hundred eighty-eight million, eight hundred twenty-two thousand, six hundred eight".