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13272565712 = 247216929293
BaseRepresentation
bin11000101110001101…
…10100011111010000
31021020222200012022212
430113012310133100
5204140234100322
610033005051252
7646622642600
oct142706643720
937228605285
1013272565712
1156a102107a
1226a4b56b28
1313369b55a3
148dca3ac00
1552a3420e2
hex3171b47d0

13272565712 has 30 divisors (see below), whose sum is σ = 29914062498. Its totient is φ = 5688242112.

The previous prime is 13272565699. The next prime is 13272565723. The reversal of 13272565712 is 21756527231.

13272565712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13037985856 + 234579856 = 114184^2 + 15316^2 .

It is a super-2 number, since 2×132725657122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13272565712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8463863 + ... + 8465430.

Almost surely, 213272565712 is an apocalyptic number.

It is an amenable number.

13272565712 is an abundant number, since it is smaller than the sum of its proper divisors (16641496786).

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

13272565712 is a wasteful number, since it uses less digits than its factorization.

13272565712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929315 (or 16929302 counting only the distinct ones).

The product of its digits is 176400, while the sum is 41.

The spelling of 13272565712 in words is "thirteen billion, two hundred seventy-two million, five hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 16929293 33858586 67717172 118505051 135434344 237010102 270868688 474020204 829535357 948040408 1659070714 1896080816 3318141428 6636282856 13272565712