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13375979631 = 347372812269
BaseRepresentation
bin11000111010100010…
…10100000001101111
31021112012021011120000
430131101110001233
5204343222322011
610051141355343
7652316644110
oct143521240157
937465234500
1013375979631
115744434523
122713708b53
131352252c61
1490c67a207
1553446d356
hex31d45406f

13375979631 has 80 divisors (see below), whose sum is σ = 23546909760. Its totient is φ = 7407106560.

The previous prime is 13375979579. The next prime is 13375979641. The reversal of 13375979631 is 13697957331.

13375979631 is a `hidden beast` number, since 13 + 3 + 7 + 597 + 9 + 6 + 31 = 666.

It is not a de Polignac number, because 13375979631 - 214 = 13375963247 is a prime.

It is a super-2 number, since 2×133759796312 (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 (13375979641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5893965 + ... + 5896233.

It is an arithmetic number, because the mean of its divisors is an integer number (294336372).

Almost surely, 213375979631 is an apocalyptic number.

13375979631 is a deficient number, since it is larger than the sum of its proper divisors (10170930129).

13375979631 is a wasteful number, since it uses less digits than its factorization.

13375979631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2597 counting only the distinct ones).

The product of its digits is 3214890, while the sum is 54.

The spelling of 13375979631 in words is "thirteen billion, three hundred seventy-five million, nine hundred seventy-nine thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 259 281 333 567 777 843 999 1967 2269 2331 2529 2997 5901 6807 6993 7587 10397 15883 17703 20421 20979 22761 31191 47649 53109 61263 72779 83953 93573 142947 159327 183789 218337 251859 280719 428841 587671 637589 655011 755577 842157 1286523 1763013 1912767 1965033 2266731 4463123 5289039 5738301 5895099 6800193 13389369 15867117 17214903 23590793 40168107 47601351 51644709 70772379 120504321 165135551 212317137 361512963 495406653 636951411 1486219959 1910854233 4458659877 13375979631