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13349207232 = 2632220710501
BaseRepresentation
bin11000110111010110…
…01011110011000000
31021110022212222201200
430123223023303000
5204314344112412
610044343501200
7651543250344
oct143353136300
937408788650
1013349207232
115730308a79
122706757800
13134983b0ba
14908cab624
15531e309dc
hex31bacbcc0

13349207232 has 84 divisors (see below), whose sum is σ = 38284074816. Its totient is φ = 4447296000.

The previous prime is 13349207231. The next prime is 13349207281. The reversal of 13349207232 is 23270294331.

13349207232 is a `hidden beast` number, since 1 + 334 + 92 + 0 + 7 + 232 = 666.

13349207232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133492072322 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13349207231) 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 11 ways as a sum of consecutive naturals, for example, 1265982 + ... + 1276482.

Almost surely, 213349207232 is an apocalyptic number.

13349207232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13349207232 is an abundant number, since it is smaller than the sum of its proper divisors (24934867584).

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

13349207232 is a wasteful number, since it uses less digits than its factorization.

13349207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13349207232 in words is "thirteen billion, three hundred forty-nine million, two hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2207 4414 6621 8828 10501 13242 17656 19863 21002 26484 31503 35312 39726 42004 52968 63006 70624 79452 84008 94509 105936 126012 141248 158904 168016 189018 211872 252024 317808 336032 378036 423744 504048 635616 672064 756072 1008096 1271232 1512144 2016192 3024288 6048576 23175707 46351414 69527121 92702828 139054242 185405656 208581363 278108484 370811312 417162726 556216968 741622624 834325452 1112433936 1483245248 1668650904 2224867872 3337301808 4449735744 6674603616 13349207232