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56388150000 = 24365571317
BaseRepresentation
bin110100100000111111…
…101110001011110000
312101112210020211000000
4310200333232023300
51410440331300000
641523201430000
74034231236530
oct644077561360
9171483224000
1056388150000
1121a06705766
12ab1833b300
13541838b440
142a2ccdb4c0
151700600000
hexd20fee2f0

56388150000 has 1680 divisors, whose sum is σ = 266811547968. Its totient is φ = 11197440000.

The previous prime is 56388149981. The next prime is 56388150019. The reversal of 56388150000 is 5188365.

56388150000 is a `hidden beast` number, since 5 + 638 + 8 + 15 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56388149981) and next prime (56388150019).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 335 ways as a sum of consecutive naturals, for example, 3316949992 + ... + 3316950008.

Almost surely, 256388150000 is an apocalyptic number.

56388150000 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 56388150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133405773984).

56388150000 is an abundant number, since it is smaller than the sum of its proper divisors (210423397968).

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

56388150000 is an equidigital number, since it uses as much as digits as its factorization.

56388150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 56388150000 in words is "fifty-six billion, three hundred eighty-eight million, one hundred fifty thousand".