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14857056000 = 28325379653
BaseRepresentation
bin11011101011000110…
…01010111100000000
31102100102011122101100
431311203022330000
5220411401243000
610454130134400
71034112615033
oct156543127400
942312148340
1014857056000
11633446a086
122a67721400
13152a04a9c7
14a0d25501a
155be4caa00
hex3758caf00

14857056000 has 432 divisors, whose sum is σ = 54219634560. Its totient is φ = 3905740800.

The previous prime is 14857055999. The next prime is 14857056013. The reversal of 14857056000 is 65075841.

14857056000 is a `hidden beast` number, since 1 + 48 + 5 + 7 + 0 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×148570560002 (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22751674 + ... + 22752326.

Almost surely, 214857056000 is an apocalyptic number.

14857056000 is a gapful number since it is divisible by the number (10) 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 14857056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27109817280).

14857056000 is an abundant number, since it is smaller than the sum of its proper divisors (39362578560).

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

14857056000 is an equidigital number, since it uses as much as digits as its factorization.

14857056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 14857056000 in words is "fourteen billion, eight hundred fifty-seven million, fifty-six thousand".