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13251427641 = 323749181047
BaseRepresentation
bin11000101011101100…
…01011110100111001
31021012111220021100100
430111312023310321
5204114331141031
610030532030013
7646245163554
oct142566136471
937174807310
1013251427641
1156900a37a1
122699a62309
1313324c415a
148d9cd769b
15528568de6
hex315d8bd39

13251427641 has 24 divisors (see below), whose sum is σ = 19698554304. Its totient is φ = 8577908640.

The previous prime is 13251427633. The next prime is 13251427703. The reversal of 13251427641 is 14672415231.

13251427641 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 4 + 2 + 7 + 641 = 666.

It is not a de Polignac number, because 13251427641 - 23 = 13251427633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13251427596 and 13251427605.

It is not an unprimeable number, because it can be changed into a prime (13251427601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122980 + ... + 204026.

It is an arithmetic number, because the mean of its divisors is an integer number (820773096).

Almost surely, 213251427641 is an apocalyptic number.

It is an amenable number.

13251427641 is a deficient number, since it is larger than the sum of its proper divisors (6447126663).

13251427641 is a wasteful number, since it uses less digits than its factorization.

13251427641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81581 (or 81578 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 13251427641 in words is "thirteen billion, two hundred fifty-one million, four hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 3 9 37 111 333 491 1473 4419 18167 54501 81047 163503 243141 729423 2998739 8996217 26988651 39794077 119382231 358146693 1472380849 4417142547 13251427641