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131032013178464 = 2529592393191357
BaseRepresentation
bin11101110010110001000100…
…100110011000011001100000
3122011221112112021212200022022
4131302301010212120121200
5114133312030333202324
61142403135330001012
736412515303036356
oct3562610446303140
9564845467780268
10131032013178464
1138829401494a02
1212842a70116168
13581635c025678
14244ddaa1797d6
15102369b55105e
hex772c44998660

131032013178464 has 48 divisors (see below), whose sum is σ = 271387899997200. Its totient is φ = 62184684194304.

The previous prime is 131032013178463. The next prime is 131032013178509. The reversal of 131032013178464 is 464871310230131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131032013178461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1196540927 + ... + 1196650430.

It is an arithmetic number, because the mean of its divisors is an integer number (5653914583275).

Almost surely, 2131032013178464 is an apocalyptic number.

It is an amenable number.

131032013178464 is an abundant number, since it is smaller than the sum of its proper divisors (140355886818736).

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

131032013178464 is a wasteful number, since it uses less digits than its factorization.

131032013178464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393191455 (or 2393191447 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 131032013178464 in words is "one hundred thirty-one trillion, thirty-two billion, thirteen million, one hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1711 1888 3422 6844 13688 27376 54752 2393191357 4786382714 9572765428 19145530856 38291061712 69402549353 76582123424 138805098706 141198290063 277610197412 282396580126 555220394824 564793160252 1110440789648 1129586320504 2220881579296 2259172641008 4094750411827 4518345282016 8189500823654 16379001647308 32758003294616 65516006589232 131032013178464