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56329421904 = 243271914512027
BaseRepresentation
bin110100011101011111…
…101100010001010000
312101101200202010012100
4310131133230101100
51410330313000104
641513303000400
74032616120560
oct643537542120
9171350663170
1056329421904
1121986543448
12ab00739100
1354091683a2
142a251b0da0
1516ea39e139
hexd1d7ec450

56329421904 has 240 divisors, whose sum is σ = 189871418880. Its totient is φ = 15229036800.

The previous prime is 56329421791. The next prime is 56329421921. The reversal of 56329421904 is 40912492365.

56329421904 is a `hidden beast` number, since 5 + 632 + 9 + 4 + 2 + 1 + 9 + 0 + 4 = 666.

56329421904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56329421904.

It is a congruent number.

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, 27788539 + ... + 27790565.

It is an arithmetic number, because the mean of its divisors is an integer number (791130912).

Almost surely, 256329421904 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 56329421904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94935709440).

56329421904 is an abundant number, since it is smaller than the sum of its proper divisors (133541996976).

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

56329421904 is a wasteful number, since it uses less digits than its factorization.

56329421904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3509 counting only the distinct ones).

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

The spelling of 56329421904 in words is "fifty-six billion, three hundred twenty-nine million, four hundred twenty-one thousand, nine hundred four".