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13812691149 = 323724092741
BaseRepresentation
bin11001101110100110…
…01111000011001101
31022122122000102010200
430313103033003031
5211242022104044
610202341524113
7666201636405
oct146723170315
938578012120
1013812691149
1159489a4334
122815a13639
1313c187933a
14950679805
1555c984369
hex3374cf0cd

13812691149 has 36 divisors (see below), whose sum is σ = 20563108020. Its totient is φ = 8934416640.

The previous prime is 13812691141. The next prime is 13812691159. The reversal of 13812691149 is 94119621831.

13812691149 is a `hidden beast` number, since 1 + 381 + 269 + 1 + 1 + 4 + 9 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4323983049 + 9488708100 = 65757^2 + 97410^2 .

It is not a de Polignac number, because 13812691149 - 23 = 13812691141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13812691141) 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 35 ways as a sum of consecutive naturals, for example, 5037919 + ... + 5040659.

It is an arithmetic number, because the mean of its divisors is an integer number (571197445).

Almost surely, 213812691149 is an apocalyptic number.

It is an amenable number.

13812691149 is a deficient number, since it is larger than the sum of its proper divisors (6750416871).

13812691149 is a wasteful number, since it uses less digits than its factorization.

13812691149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3190 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 13812691149 in words is "thirteen billion, eight hundred twelve million, six hundred ninety-one thousand, one hundred forty-nine".

Divisors: 1 3 9 37 111 333 409 1227 1369 2741 3681 4107 8223 12321 15133 24669 45399 101417 136197 304251 559921 912753 1121069 1679763 3363207 3752429 5039289 10089621 11257287 33771861 41479553 124438659 373315977 1534743461 4604230383 13812691149