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131142877568 = 272935329439
BaseRepresentation
bin111101000100010111…
…0011000000110000000
3110112111120110102220122
41322020232120012000
54122040034040233
6140125102555412
712321562031633
oct1721056300600
9415446412818
10131142877568
115068780aa4a
12214bb598b68
13c49c8b8a51
1464c11a9c1a
153628368d98
hex1e88b98180

131142877568 has 32 divisors (see below), whose sum is σ = 270270216000. Its totient is φ = 63310352896.

The previous prime is 131142877513. The next prime is 131142877573. The reversal of 131142877568 is 865778241131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17661008 + ... + 17668431.

It is an arithmetic number, because the mean of its divisors is an integer number (8445944250).

Almost surely, 2131142877568 is an apocalyptic number.

It is an amenable number.

131142877568 is an abundant number, since it is smaller than the sum of its proper divisors (139127338432).

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

131142877568 is an equidigital number, since it uses as much as digits as its factorization.

131142877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35329482 (or 35329470 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 53.

The spelling of 131142877568 in words is "one hundred thirty-one billion, one hundred forty-two million, eight hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 35329439 70658878 141317756 282635512 565271024 1024553731 1130542048 2049107462 2261084096 4098214924 4522168192 8196429848 16392859696 32785719392 65571438784 131142877568