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56888747136000 = 2103253138345767
BaseRepresentation
bin11001110111101011100011…
…00100001001010000000000
321110102111210121020011211200
430323311301210021100000
524424031123231323000
6320554155111541200
714661035121066213
oct1473656144112000
9243374717204750
1056888747136000
111714342274302a
12646950638a800
13259878010b360
1410096040c977a
15689c18287500
hex33bd71909400

56888747136000 has 1056 divisors, whose sum is σ = 223436978489088. Its totient is φ = 13834366156800.

The previous prime is 56888747135981. The next prime is 56888747136017. The reversal of 56888747136000 is 63174788865.

56888747136000 is a `hidden beast` number, since 5 + 6 + 8 + 8 + 8 + 7 + 4 + 7 + 13 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242985117 + ... + 1243030883.

Almost surely, 256888747136000 is an apocalyptic number.

56888747136000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56888747136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111718489244544).

56888747136000 is an abundant number, since it is smaller than the sum of its proper divisors (166548231353088).

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

56888747136000 is a wasteful number, since it uses less digits than its factorization.

56888747136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45904 (or 45873 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 56888747136000 in words is "fifty-six trillion, eight hundred eighty-eight billion, seven hundred forty-seven million, one hundred thirty-six thousand".