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56635995150 = 233527192973149
BaseRepresentation
bin110100101111110001…
…001011010000001110
312102012001121122122000
4310233301023100032
51411442303321100
642003533533130
74043331005250
oct645761132016
9172161548560
1056635995150
11220235a7469
12ab873441a6
135457828087
142a53bb5cd0
15171725a900
hexd2fc4b40e

56635995150 has 768 divisors, whose sum is σ = 198201600000. Its totient is φ = 11600547840.

The previous prime is 56635995113. The next prime is 56635995167. The reversal of 56635995150 is 5159953665.

56635995150 is a `hidden beast` number, since 5 + 6 + 6 + 35 + 99 + 515 + 0 = 666.

56635995150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 380107276 + ... + 380107424.

It is an arithmetic number, because the mean of its divisors is an integer number (258075000).

Almost surely, 256635995150 is an apocalyptic number.

56635995150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56635995150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800000).

56635995150 is an abundant number, since it is smaller than the sum of its proper divisors (141565604850).

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

56635995150 is a wasteful number, since it uses less digits than its factorization.

56635995150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5467500, while the sum is 54.

The spelling of 56635995150 in words is "fifty-six billion, six hundred thirty-five million, nine hundred ninety-five thousand, one hundred fifty".