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56423828160 = 26325723121687
BaseRepresentation
bin110100100011000111…
…110100101011000000
312101122021101110020100
4310203013310223000
51411024000000120
641530514242400
74035143424510
oct644307645300
9171567343210
1056423828160
1121a24864247
12ab28286400
1354228a0a8b
142a33947840
1517037eb490
hexd231f4ac0

56423828160 has 336 divisors, whose sum is σ = 231444734976. Its totient is φ = 12336039936.

The previous prime is 56423828147. The next prime is 56423828203. The reversal of 56423828160 is 6182832465.

56423828160 is a `hidden beast` number, since 564 + 2 + 3 + 8 + 2 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402837 + ... + 524523.

It is an arithmetic number, because the mean of its divisors is an integer number (688823616).

Almost surely, 256423828160 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 56423828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115722367488).

56423828160 is an abundant number, since it is smaller than the sum of its proper divisors (175020906816).

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

56423828160 is a wasteful number, since it uses less digits than its factorization.

56423828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121740 (or 121727 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56423828160 in words is "fifty-six billion, four hundred twenty-three million, eight hundred twenty-eight thousand, one hundred sixty".