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13090914432 = 273233712
BaseRepresentation
bin11000011000100011…
…11000000010000000
31020210022212100121200
430030101320002000
5203302233230212
610002555421200
7642255636201
oct141421700200
936708770550
1013090914432
115608530852
122654154800
131308183c1b
148c28735a8
1551940e6dc
hex30c478080

13090914432 has 72 divisors (see below), whose sum is σ = 37681648095. Its totient is φ = 4362343680.

The previous prime is 13090914409. The next prime is 13090914433. The reversal of 13090914432 is 23441909031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13090914432 is a `hidden beast` number, since 130 + 9 + 0 + 91 + 4 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6545457216 + 6545457216 = 80904^2 + 80904^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13090914433) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3881707 + ... + 3885077.

Almost surely, 213090914432 is an apocalyptic number.

13090914432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13090914432 is an abundant number, since it is smaller than the sum of its proper divisors (24590733663).

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

13090914432 is an frugal number, since it uses more digits than its factorization.

13090914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6762 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 13090914432 by its product of nonzero digits (23328), we get a square (305384851869696 = 174752642).

The spelling of 13090914432 in words is "thirteen billion, ninety million, nine hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3371 6742 10113 13484 20226 26968 30339 40452 53936 60678 80904 107872 121356 161808 215744 242712 323616 431488 485424 647232 970848 1294464 1941696 3883392 11363641 22727282 34090923 45454564 68181846 90909128 102272769 136363692 181818256 204545538 272727384 363636512 409091076 545454768 727273024 818182152 1090909536 1454546048 1636364304 2181819072 3272728608 4363638144 6545457216 13090914432