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13729394952 = 23327132095451
BaseRepresentation
bin11001100100101010…
…11111000100001000
31022102211021112020100
430302111133010020
5211104211114302
610150204325400
7664140634350
oct146225370410
938384245210
1013729394952
1159059816a9
1227b1b43860
1313aa533850
14943595b60
155554cdd1c
hex33255f108

13729394952 has 96 divisors (see below), whose sum is σ = 45764671680. Its totient is φ = 3620937600.

The previous prime is 13729394891. The next prime is 13729394953. The reversal of 13729394952 is 25949392731.

It is not an unprimeable number, because it can be changed into a prime (13729394953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041174 + ... + 1054277.

It is an arithmetic number, because the mean of its divisors is an integer number (476715330).

Almost surely, 213729394952 is an apocalyptic number.

13729394952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13729394952 is an abundant number, since it is smaller than the sum of its proper divisors (32035276728).

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

13729394952 is a wasteful number, since it uses less digits than its factorization.

13729394952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095483 (or 2095476 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 13729394952 in words is "thirteen billion, seven hundred twenty-nine million, three hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 2095451 4190902 6286353 8381804 12572706 14668157 16763608 18859059 25145412 27240863 29336314 37718118 44004471 50290824 54481726 58672628 75436236 81722589 88008942 108963452 117345256 132013413 150872472 163445178 176017884 190686041 217926904 245167767 264026826 326890356 352035768 381372082 490335534 528053652 572058123 653780712 762744164 980671068 1056107304 1144116246 1525488328 1716174369 1961342136 2288232492 3432348738 4576464984 6864697476 13729394952