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13724065960 = 23511231356133
BaseRepresentation
bin11001100100000010…
…01010000010101000
31022102110020210020021
430302001022002220
5211101330102320
610145454210224
7664044431053
oct146201120250
938373223207
1013724065960
115902971980
1227b01b3974
1313a93b90b7
149429a9a9a
15554cc9daa
hex33204a0a8

13724065960 has 64 divisors (see below), whose sum is σ = 35150993280. Its totient is φ = 4773584640.

The previous prime is 13724065841. The next prime is 13724065987. The reversal of 13724065960 is 6956042731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667947 + ... + 688186.

It is an arithmetic number, because the mean of its divisors is an integer number (549234270).

Almost surely, 213724065960 is an apocalyptic number.

13724065960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13724065960 is an abundant number, since it is smaller than the sum of its proper divisors (21426927320).

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

13724065960 is a wasteful number, since it uses less digits than its factorization.

13724065960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356178 (or 1356174 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 13724065960 in words is "thirteen billion, seven hundred twenty-four million, sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 1356133 2712266 5424532 6780665 10849064 13561330 14917463 27122660 29834926 31191059 54245320 59669852 62382118 74587315 119339704 124764236 149174630 155955295 249528472 298349260 311910590 343101649 596698520 623821180 686203298 1247642360 1372406596 1715508245 2744813192 3431016490 6862032980 13724065960