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13713094560 = 2535112236107
BaseRepresentation
bin11001100010101110…
…10011011110100000
31022101200121101022010
430301113103132200
5211041023011220
610144423112520
7663552244344
oct146127233640
938350541263
1013713094560
1158a7758a00
1227a85a2740
1313a7047349
14941351624
15553d5e1e0
hex3315d37a0

13713094560 has 144 divisors (see below), whose sum is σ = 47480374368. Its totient is φ = 3324372480.

The previous prime is 13713094501. The next prime is 13713094579. The reversal of 13713094560 is 6549031731.

13713094560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 59974 + ... + 176133.

It is an arithmetic number, because the mean of its divisors is an integer number (329724822).

Almost surely, 213713094560 is an apocalyptic number.

13713094560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13713094560 is an abundant number, since it is smaller than the sum of its proper divisors (33767279808).

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

13713094560 is a wasteful number, since it uses less digits than its factorization.

13713094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236147 (or 236128 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 13713094560 in words is "thirteen billion, seven hundred thirteen million, ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 236107 472214 708321 944428 1180535 1416642 1888856 2361070 2597177 2833284 3541605 3777712 4722140 5194354 5666568 7083210 7555424 7791531 9444280 10388708 11333136 12985885 14166420 15583062 18888560 20777416 22666272 25971770 28332840 28568947 31166124 37777120 38957655 41554832 51943540 56665680 57137894 62332248 77915310 83109664 85706841 103887080 113331360 114275788 124664496 142844735 155830620 171413682 207774160 228551576 249328992 285689470 311661240 342827364 415548320 428534205 457103152 571378940 623322480 685654728 857068410 914206304 1142757880 1246644960 1371309456 1714136820 2285515760 2742618912 3428273640 4571031520 6856547280 13713094560