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132852158208 = 2833711472113
BaseRepresentation
bin111101110111010011…
…0110000111100000000
3110200220200202220011000
41323232212300330000
54134040123030313
6141010442452000
712412125466260
oct1735646607400
9420820686130
10132852158208
1151384641880
12218b7b04000
13c6b2a64603
1466041c97a0
1536c8452673
hex1eee9b0f00

132852158208 has 864 divisors, whose sum is σ = 504880427520. Its totient is φ = 33473986560.

The previous prime is 132852158191. The next prime is 132852158233. The reversal of 132852158208 is 802851258231.

132852158208 is a `hidden beast` number, since 13 + 2 + 8 + 52 + 1 + 582 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 1175682760 + ... + 1175682872.

Almost surely, 2132852158208 is an apocalyptic number.

132852158208 is a gapful number since it is divisible by the number (18) 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 132852158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252440213760).

132852158208 is an abundant number, since it is smaller than the sum of its proper divisors (372028269312).

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

132852158208 is a wasteful number, since it uses less digits than its factorization.

132852158208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 132852158208 in words is "one hundred thirty-two billion, eight hundred fifty-two million, one hundred fifty-eight thousand, two hundred eight".