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132539105088 = 263613218521
BaseRepresentation
bin111101101101111110…
…0100011111101000000
3110200002212201011000000
41323123330203331000
54132420002330323
6140515421000000
712401304543045
oct1733374437500
9420085634000
10132539105088
1151233962395
122182b0b3000
13c662c46390
1465b47b91cc
1536aac15e43
hex1edbf23f40

132539105088 has 196 divisors, whose sum is σ = 424665602788. Its totient is φ = 40781076480.

The previous prime is 132539105033. The next prime is 132539105117. The reversal of 132539105088 is 880501935231.

132539105088 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 91 + 0 + 508 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5979619584 + 126559485504 = 77328^2 + 355752^2 .

It is a super-2 number, since 2×1325391050882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 497268 + ... + 715788.

Almost surely, 2132539105088 is an apocalyptic number.

132539105088 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 132539105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212332801394).

132539105088 is an abundant number, since it is smaller than the sum of its proper divisors (292126497700).

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

132539105088 is an equidigital number, since it uses as much as digits as its factorization.

132539105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218564 (or 218539 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 132539105088 in words is "one hundred thirty-two billion, five hundred thirty-nine million, one hundred five thousand, eighty-eight".