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136116854328 = 2337131729167757
BaseRepresentation
bin111111011000100110…
…0100101111000111000
3111000100012212122022010
41332301030211320320
54212231403314303
6142310424325520
712556050112620
oct1766114457070
9430305778263
10136116854328
11527aa463344
12224693138a0
13cab3235770
146833a15880
153819d7ec03
hex1fb1325e38

136116854328 has 512 divisors, whose sum is σ = 462105907200. Its totient is φ = 32383991808.

The previous prime is 136116854309. The next prime is 136116854333. The reversal of 136116854328 is 823458611631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179810526 + ... + 179811282.

It is an arithmetic number, because the mean of its divisors is an integer number (902550600).

Almost surely, 2136116854328 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 136116854328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231052953600).

136116854328 is an abundant number, since it is smaller than the sum of its proper divisors (325989052872).

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

136116854328 is a wasteful number, since it uses less digits than its factorization.

136116854328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 136116854328 in words is "one hundred thirty-six billion, one hundred sixteen million, eight hundred fifty-four thousand, three hundred twenty-eight".