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128691375264 = 25331131976691
BaseRepresentation
bin111011111011010011…
…0101000110010100000
3110022011201112012222000
41313312212220302200
54102024443002024
6135041530444000
712204043432614
oct1676646506240
9408151465860
10128691375264
114a639a20a91
1220b36593600
13c19ba39c7a
14632b781344
15353301ccc9
hex1df69a8ca0

128691375264 has 192 divisors, whose sum is σ = 380650596480. Its totient is φ = 42295357440.

The previous prime is 128691375247. The next prime is 128691375289. The reversal of 128691375264 is 462573196821.

It is a happy number.

128691375264 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 9 + 1 + 375 + 264 = 666.

128691375264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1286913752642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 128691375264.

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 31 ways as a sum of consecutive naturals, for example, 19230159 + ... + 19236849.

It is an arithmetic number, because the mean of its divisors is an integer number (1982555190).

Almost surely, 2128691375264 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 128691375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190325298240).

128691375264 is an abundant number, since it is smaller than the sum of its proper divisors (251959221216).

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

128691375264 is a wasteful number, since it uses less digits than its factorization.

128691375264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7006 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 128691375264 in words is "one hundred twenty-eight billion, six hundred ninety-one million, three hundred seventy-five thousand, two hundred sixty-four".