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131605906290992 = 2478111448893631
BaseRepresentation
bin11101111011000111100011…
…010010110111100100110000
3122020222101211220000102211022
4131323013203102313210300
5114222212344002302432
61143522530235035012
736502133021023010
oct3573074322674460
9566871756012738
10131605906290992
1138a2a82a162541
121291613389ba68
1358584cb026a63
14246da8d063c40
151033589454b12
hex77b1e34b7930

131605906290992 has 40 divisors (see below), whose sum is σ = 291772404037632. Its totient is φ = 56332984334400.

The previous prime is 131605906290983. The next prime is 131605906291021. The reversal of 131605906290992 is 299092609506131.

It is a happy number.

It is a super-2 number, since 2×1316059062909922 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724355984 + ... + 724537647.

Almost surely, 2131605906290992 is an apocalyptic number.

It is an amenable number.

131605906290992 is an abundant number, since it is smaller than the sum of its proper divisors (160166497746640).

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

131605906290992 is a wasteful number, since it uses less digits than its factorization.

131605906290992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448894457 (or 1448894451 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 62.

The spelling of 131605906290992 in words is "one hundred thirty-one trillion, six hundred five billion, nine hundred six million, two hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 811 1622 3244 5677 6488 11354 12976 22708 45416 90832 1448893631 2897787262 5795574524 10142255417 11591149048 20284510834 23182298096 40569021668 81138043336 162276086672 1175052734741 2350105469482 4700210938964 8225369143187 9400421877928 16450738286374 18800843755856 32901476572748 65802953145496 131605906290992