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13604260131 = 3271131633257
BaseRepresentation
bin11001010101110000…
…01000100100100011
31022010002211000112100
430222320020210203
5210330142311011
610125534301443
7661061205660
oct145270104443
938102730470
1013604260131
115851282aa0
122778057883
13138a62c687
14930b00a67
15549511d56
hex32ae08923

13604260131 has 48 divisors (see below), whose sum is σ = 25289791488. Its totient is φ = 6839164800.

The previous prime is 13604260127. The next prime is 13604260139. The reversal of 13604260131 is 13106240631.

13604260131 is a `hidden beast` number, since 1 + 3 + 604 + 26 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 13604260131 - 22 = 13604260127 is a prime.

It is a super-2 number, since 2×136042601312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13604260095 and 13604260104.

It is not an unprimeable number, because it can be changed into a prime (13604260139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295146 + ... + 338111.

It is an arithmetic number, because the mean of its divisors is an integer number (526870656).

Almost surely, 213604260131 is an apocalyptic number.

13604260131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13604260131 is a deficient number, since it is larger than the sum of its proper divisors (11685531357).

13604260131 is a wasteful number, since it uses less digits than its factorization.

13604260131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633312 (or 633309 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13604260131 in words is "thirteen billion, six hundred four million, two hundred sixty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1953 2387 3069 7161 21483 633257 1899771 4432799 5699313 6965827 13298397 19630967 20897481 39895191 48760789 58892901 62692443 137416769 146282367 176678703 215940637 412250307 438847101 647821911 1236750921 1511584459 1943465733 4534753377 13604260131