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87132026520 = 2332571110632957
BaseRepresentation
bin101000100100101111…
…0010011011010011000
322022220101021120010100
41101021132103122120
52411421244322040
6104010005415400
76203133001560
oct1211136233230
9268811246110
1087132026520
1133a52837180
1214a7840a560
1382a78b5a56
144308061da0
1523ee6b6b30
hex1449793698

87132026520 has 384 divisors, whose sum is σ = 353506083840. Its totient is φ = 18082206720.

The previous prime is 87132026479. The next prime is 87132026537. The reversal of 87132026520 is 2562023178.

87132026520 is a `hidden beast` number, since 8 + 71 + 320 + 265 + 2 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29464882 + ... + 29467838.

It is an arithmetic number, because the mean of its divisors is an integer number (920588760).

Almost surely, 287132026520 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 87132026520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176753041920).

87132026520 is an abundant number, since it is smaller than the sum of its proper divisors (266374057320).

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

87132026520 is a wasteful number, since it uses less digits than its factorization.

87132026520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 87132026520 its reverse (2562023178), we get a palindrome (89694049698).

The spelling of 87132026520 in words is "eighty-seven billion, one hundred thirty-two million, twenty-six thousand, five hundred twenty".