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56816593020 = 22355112791223
BaseRepresentation
bin110100111010100010…
…000110100001111100
312102122122102222100000
4310322202012201330
51412330021434040
642033504434300
74050653033535
oct647242064174
9172578388300
1056816593020
1122106538300
12b017918990
13548607b115
142a6db8768c
151728031130
hexd3a88687c

56816593020 has 432 divisors, whose sum is σ = 199101127680. Its totient is φ = 13588248960.

The previous prime is 56816593003. The next prime is 56816593037. The reversal of 56816593020 is 2039561865.

56816593020 is a `hidden beast` number, since 56 + 8 + 1 + 6 + 593 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56816593003) and next prime (56816593037).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46456129 + ... + 46457351.

It is an arithmetic number, because the mean of its divisors is an integer number (460882240).

Almost surely, 256816593020 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 56816593020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99550563840).

56816593020 is an abundant number, since it is smaller than the sum of its proper divisors (142284534660).

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

56816593020 is a wasteful number, since it uses less digits than its factorization.

56816593020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 56816593020 in words is "fifty-six billion, eight hundred sixteen million, five hundred ninety-three thousand, twenty".