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13296938928 = 2437132234167
BaseRepresentation
bin11000110001000111…
…10010111110110000
31021022200112111002120
430120203302332300
5204213004021203
610035235314240
7650340054540
oct143043627660
937280474076
1013296938928
115703859029
1226b114b980
13133ba6a400
14901d83320
1552c558b53
hex3188f2fb0

13296938928 has 120 divisors (see below), whose sum is σ = 42509922048. Its totient is φ = 3506870016.

The previous prime is 13296938923. The next prime is 13296938933. The reversal of 13296938928 is 82983969231.

13296938928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13296938923) and next prime (13296938933).

It is not an unprimeable number, because it can be changed into a prime (13296938923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60300 + ... + 173867.

Almost surely, 213296938928 is an apocalyptic number.

It is an amenable number.

13296938928 is an abundant number, since it is smaller than the sum of its proper divisors (29212983120).

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

13296938928 is a wasteful number, since it uses less digits than its factorization.

13296938928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234211 (or 234192 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 13296938928 in words is "thirteen billion, two hundred ninety-six million, nine hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 9464 14196 18928 28392 56784 234167 468334 702501 936668 1405002 1639169 1873336 2810004 3044171 3278338 3746672 4917507 5620008 6088342 6556676 9132513 9835014 11240016 12176684 13113352 18265026 19670028 21309197 24353368 26226704 36530052 39340056 39574223 42618394 48706736 63927591 73060104 78680112 79148446 85236788 118722669 127855182 146120208 158296892 170473576 237445338 255710364 277019561 316593784 340947152 474890676 511420728 554039122 633187568 831058683 949781352 1022841456 1108078244 1662117366 1899562704 2216156488 3324234732 4432312976 6648469464 13296938928