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13272136461 = 3222310636221
BaseRepresentation
bin11000101110001010…
…01011101100001101
31021020221212101111200
430113011023230031
5204140131331321
610032551540113
7646616204253
oct142705135415
937227771450
1013272136461
1156a0858621
1226a498a639
1313368950ac
148dc9685d3
1552a2a9d26
hex31714bb0d

13272136461 has 24 divisors (see below), whose sum is σ = 19278045696. Its totient is φ = 8798712480.

The previous prime is 13272136441. The next prime is 13272136511. The reversal of 13272136461 is 16463127231.

13272136461 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 2 + 1 + 3 + 646 + 1 = 666.

13272136461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13272136461 - 27 = 13272136333 is a prime.

It is a super-2 number, since 2×132721364612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272136441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2130331 + ... + 2136551.

It is an arithmetic number, because the mean of its divisors is an integer number (803251904).

Almost surely, 213272136461 is an apocalyptic number.

It is an amenable number.

13272136461 is a deficient number, since it is larger than the sum of its proper divisors (6005909235).

13272136461 is a wasteful number, since it uses less digits than its factorization.

13272136461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7510 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 13272136461 in words is "thirteen billion, two hundred seventy-two million, one hundred thirty-six thousand, four hundred sixty-one".

Divisors: 1 3 9 223 669 1063 2007 3189 6221 9567 18663 55989 237049 711147 1387283 2133441 4161849 6612923 12485547 19838769 59516307 1474681829 4424045487 13272136461