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13230864960 = 263530744893
BaseRepresentation
bin11000101001001111…
…01111101001000000
31021011002012120122120
430110213233221000
5204044100134320
610024515204240
7645605332215
oct142447575100
937132176576
1013230864960
11567a529745
122692ba6680
13132b1748a1
148d72a3b0c
15526856440
hex3149efa40

13230864960 has 112 divisors (see below), whose sum is σ = 42145768896. Its totient is φ = 3516659712.

The previous prime is 13230864949. The next prime is 13230864961. The reversal of 13230864960 is 6946803231.

It is not an unprimeable number, because it can be changed into a prime (13230864961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272274 + ... + 317166.

It is an arithmetic number, because the mean of its divisors is an integer number (376301508).

Almost surely, 213230864960 is an apocalyptic number.

13230864960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072884448).

13230864960 is an abundant number, since it is smaller than the sum of its proper divisors (28914903936).

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

13230864960 is a wasteful number, since it uses less digits than its factorization.

13230864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45220 (or 45210 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13230864960 in words is "thirteen billion, two hundred thirty million, eight hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 480 614 921 960 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 19648 24560 29472 36840 44893 49120 58944 73680 89786 98240 134679 147360 179572 224465 269358 294720 359144 448930 538716 673395 718288 897860 1077432 1346790 1436576 1795720 2154864 2693580 2873152 3591440 4309728 5387160 7182880 8619456 10774320 13782151 14365760 21548640 27564302 41346453 43097280 55128604 68910755 82692906 110257208 137821510 165385812 206732265 220514416 275643020 330771624 413464530 441028832 551286040 661543248 826929060 882057664 1102572080 1323086496 1653858120 2205144160 2646172992 3307716240 4410288320 6615432480 13230864960