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13429576352 = 251923960353
BaseRepresentation
bin11001000000111011…
…10001001010100000
31021122221010011102202
430200131301022200
5210000432420402
610100334232332
7653540341553
oct144035611240
937587104382
1013429576352
115771711535
1227296556a8
13136039a4aa
1491582c69a
15539008b02
hex3207712a0

13429576352 has 48 divisors (see below), whose sum is σ = 29041104960. Its totient is φ = 6084790272.

The previous prime is 13429576337. The next prime is 13429576379. The reversal of 13429576352 is 25367592431.

It is a junction number, because it is equal to n+sod(n) for n = 13429576297 and 13429576306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466193 + ... + 494160.

It is an arithmetic number, because the mean of its divisors is an integer number (605023020).

Almost surely, 213429576352 is an apocalyptic number.

It is an amenable number.

13429576352 is an abundant number, since it is smaller than the sum of its proper divisors (15611528608).

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

13429576352 is a wasteful number, since it uses less digits than its factorization.

13429576352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960405 (or 960397 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 47.

The spelling of 13429576352 in words is "thirteen billion, four hundred twenty-nine million, five hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 13984 960353 1920706 3841412 7682824 15365648 18246707 22088119 30731296 36493414 44176238 72986828 88352476 145973656 176704952 291947312 353409904 419674261 583894624 706819808 839348522 1678697044 3357394088 6714788176 13429576352