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132523588368 = 2432920302697
BaseRepresentation
bin111101101101100000…
…1010111101100010000
3110200001210111211001200
41323123001113230100
54132402014311433
6140514104231200
712401025625563
oct1733301275420
9420053454050
10132523588368
1151226124456
1221825a6b500
13c65c9727a2
1465b26da4da
1536a969d613
hex1edb057b10

132523588368 has 30 divisors (see below), whose sum is σ = 370881987294. Its totient is φ = 44174529408.

The previous prime is 132523588367. The next prime is 132523588391. The reversal of 132523588368 is 863885325231.

132523588368 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 23 + 588 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127912091904 + 4611496464 = 357648^2 + 67908^2 .

It is a super-2 number, since 2×1325235883682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132523588367) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 460151205 + ... + 460151492.

Almost surely, 2132523588368 is an apocalyptic number.

132523588368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132523588368 is an abundant number, since it is smaller than the sum of its proper divisors (238358398926).

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

132523588368 is a wasteful number, since it uses less digits than its factorization.

132523588368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920302711 (or 920302702 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 132523588368 in words is "one hundred thirty-two billion, five hundred twenty-three million, five hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 920302697 1840605394 2760908091 3681210788 5521816182 7362421576 8282724273 11043632364 14724843152 16565448546 22087264728 33130897092 44174529456 66261794184 132523588368