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131564543880 = 2335711223167337
BaseRepresentation
bin111101010000111011…
…0111001111110001000
3110120120221220022100110
41322201312321332020
54123421010401010
6140235004434320
712335202112530
oct1724166717610
9416527808313
10131564543880
1150883834100
12215b88489a0
13c539075043
1465211b04c0
1536503ac120
hex1ea1db9f88

131564543880 has 768 divisors, whose sum is σ = 522013040640. Its totient is φ = 25915760640.

The previous prime is 131564543849. The next prime is 131564543881. The reversal of 131564543880 is 88345465131.

131564543880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131564543881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390399072 + ... + 390399408.

It is an arithmetic number, because the mean of its divisors is an integer number (679704480).

Almost surely, 2131564543880 is an apocalyptic number.

131564543880 is a gapful number since it is divisible by the number (10) 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 131564543880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261006520320).

131564543880 is an abundant number, since it is smaller than the sum of its proper divisors (390448496760).

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

131564543880 is a wasteful number, since it uses less digits than its factorization.

131564543880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 131564543880 in words is "one hundred thirty-one billion, five hundred sixty-four million, five hundred forty-three thousand, eight hundred eighty".