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131535480164 = 22112424164081
BaseRepresentation
bin111101010000000100…
…0000010010101100100
3110120111221012201102112
41322200020002111210
54123341040331124
6140232045500152
712334400063624
oct1724010022544
9416457181375
10131535480164
1150869393100
12215aab71658
13c53303a28a
14651b3a6884
15364ca6a90e
hex1ea0202564

131535480164 has 36 divisors (see below), whose sum is σ = 253079170764. Its totient is φ = 59773824000.

The previous prime is 131535480157. The next prime is 131535480173. The reversal of 131535480164 is 461084535131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97058417764 + 34477062400 = 311542^2 + 185680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020604 + ... + 2084684.

Almost surely, 2131535480164 is an apocalyptic number.

It is an amenable number.

131535480164 is a deficient number, since it is larger than the sum of its proper divisors (121543690600).

131535480164 is a wasteful number, since it uses less digits than its factorization.

131535480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68348 (or 68335 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 131535480164 in words is "one hundred thirty-one billion, five hundred thirty-five million, four hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 121 242 484 4241 8482 16964 46651 64081 93302 128162 186604 256324 513161 704891 1026322 1409782 2052644 2819564 7753801 15507602 31015204 271767521 543535042 1087070084 2989442731 5978885462 11957770924 32883870041 65767740082 131535480164