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13992759432 = 23321711431993
BaseRepresentation
bin11010000100000100…
…01001000010001000
31100010011211211101100
431002002021002020
5212124121300212
610232253221400
71003516331001
oct150202110210
940104754340
1013992759432
115a306032a3
122866191860
13141cc75312
1496a5501a8
1556d6a2bdc
hex342089088

13992759432 has 48 divisors (see below), whose sum is σ = 40126298940. Its totient is φ = 4389884928.

The previous prime is 13992759421. The next prime is 13992759433. The reversal of 13992759432 is 23495729931.

13992759432 is a `hidden beast` number, since 13 + 9 + 9 + 2 + 7 + 594 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12229263396 + 1763496036 = 110586^2 + 41994^2 .

It is not an unprimeable number, because it can be changed into a prime (13992759433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5714773 + ... + 5717220.

Almost surely, 213992759432 is an apocalyptic number.

13992759432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13992759432 is an abundant number, since it is smaller than the sum of its proper divisors (26133539508).

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

13992759432 is a wasteful number, since it uses less digits than its factorization.

13992759432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432022 (or 11432015 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 13992759432 in words is "thirteen billion, nine hundred ninety-two million, seven hundred fifty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 11431993 22863986 34295979 45727972 68591958 91455944 102887937 137183916 194343881 205775874 274367832 388687762 411551748 583031643 777375524 823103496 1166063286 1554751048 1749094929 2332126572 3498189858 4664253144 6996379716 13992759432