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56922601680 = 243257139193421
BaseRepresentation
bin110101000000110110…
…011111100011010000
312102221000220202212200
4311000312133203100
51413034141223210
642052212523200
74053411062640
oct650066374320
9172830822780
1056922601680
112216036316a
12b047320500
1354a2016839
142a7dca0520
1517324c10c0
hexd40d9f8d0

56922601680 has 480 divisors, whose sum is σ = 221711642880. Its totient is φ = 12819824640.

The previous prime is 56922601679. The next prime is 56922601693. The reversal of 56922601680 is 8610622965.

56922601680 is a `hidden beast` number, since 569 + 2 + 2 + 6 + 0 + 1 + 6 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 135207870 + ... + 135208290.

It is an arithmetic number, because the mean of its divisors is an integer number (461899256).

Almost surely, 256922601680 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 56922601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110855821440).

56922601680 is an abundant number, since it is smaller than the sum of its proper divisors (164789041200).

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

56922601680 is a wasteful number, since it uses less digits than its factorization.

56922601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 56922601680 in words is "fifty-six billion, nine hundred twenty-two million, six hundred one thousand, six hundred eighty".