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13261214232 = 23327172315271
BaseRepresentation
bin11000101100110111…
…00001001000011000
31021020012022111000200
430112123201020120
5204124332323412
610031521502200
7646424314110
oct142633411030
937205274020
1013261214232
115695678592
1226a11a1960
13133453c836
148db324040
1552934d9dc
hex3166e1218

13261214232 has 96 divisors (see below), whose sum is σ = 41073127680. Its totient is φ = 3786471360.

The previous prime is 13261214203. The next prime is 13261214249. The reversal of 13261214232 is 23241216231.

13261214232 is a `hidden beast` number, since 1 + 3 + 2 + 612 + 1 + 42 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13261214196 and 13261214205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860757 + ... + 876027.

It is an arithmetic number, because the mean of its divisors is an integer number (427845080).

Almost surely, 213261214232 is an apocalyptic number.

13261214232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13261214232 is an abundant number, since it is smaller than the sum of its proper divisors (27811913448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13261214232 is a wasteful number, since it uses less digits than its factorization.

13261214232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17013 (or 17006 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The spelling of 13261214232 in words is "thirteen billion, two hundred sixty-one million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1723 3446 5169 6892 10338 12061 13784 15271 15507 20676 24122 30542 31014 36183 41352 45813 48244 61084 62028 72366 91626 96488 106897 108549 122168 124056 137439 144732 183252 213794 217098 274878 289464 320691 366504 427588 434196 549756 641382 855176 868392 962073 1099512 1282764 1924146 2565528 3848292 7696584 26311933 52623866 78935799 105247732 157871598 184183531 210495464 236807397 315743196 368367062 473614794 552550593 631486392 736734124 947229588 1105101186 1473468248 1657651779 1894459176 2210202372 3315303558 4420404744 6630607116 13261214232