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125352014008320 = 2123251125620481
BaseRepresentation
bin11100100000000111001010…
…010001000101000000000000
3121102211112110101100120202100
4130200013022101011000000
5112412231411041231240
61122333530435150400
735255245522512051
oct3440071221050000
9542745411316670
10125352014008320
1136a39543a95300
1212086087a45400
1354c384b3cca48
1422d50d994c728
15e75a60b08e30
hex7201ca445000

125352014008320 has 468 divisors, whose sum is σ = 477591656275188. Its totient is φ = 30388361625600.

The previous prime is 125352014008237. The next prime is 125352014008357. The reversal of 125352014008320 is 23800410253521.

125352014008320 is a `hidden beast` number, since 1 + 2 + 53 + 520 + 1 + 4 + 0 + 0 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34945690374144 + 90406323634176 = 5911488^2 + 9508224^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19492480 + ... + 25112960.

It is an arithmetic number, because the mean of its divisors is an integer number (1020494992041).

Almost surely, 2125352014008320 is an apocalyptic number.

125352014008320 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 125352014008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238795828137594).

125352014008320 is an abundant number, since it is smaller than the sum of its proper divisors (352239642266868).

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

125352014008320 is a wasteful number, since it uses less digits than its factorization.

125352014008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620538 (or 5620502 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 125352014008320 in words is "one hundred twenty-five trillion, three hundred fifty-two billion, fourteen million, eight thousand, three hundred twenty".