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13455621864 = 23321934192311
BaseRepresentation
bin11001000100000010…
…00111111011101000
31021201202010102011100
430202001013323220
5210024114344424
610103104401400
7654304620156
oct144201077350
937652112140
1013455621864
115785390953
122736316260
1313658b9539
1491908c3d6
1553b450dc9
hex322047ee8

13455621864 has 96 divisors (see below), whose sum is σ = 36734443200. Its totient is φ = 4449392640.

The previous prime is 13455621857. The next prime is 13455621887. The reversal of 13455621864 is 46812655431.

13455621864 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 562 + 1 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5821269 + ... + 5823579.

It is an arithmetic number, because the mean of its divisors is an integer number (382650450).

Almost surely, 213455621864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13455621864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367221600).

13455621864 is an abundant number, since it is smaller than the sum of its proper divisors (23278821336).

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

13455621864 is a wasteful number, since it uses less digits than its factorization.

13455621864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2928 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 13455621864 in words is "thirteen billion, four hundred fifty-five million, six hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 419 579 772 838 1158 1257 1544 1676 1737 2311 2316 2514 3352 3474 3771 4622 4632 5028 6933 6948 7542 9244 10056 13866 13896 15084 18488 20799 27732 30168 41598 55464 80867 83196 161734 166392 242601 323468 446023 485202 646936 727803 892046 968309 970404 1338069 1455606 1784092 1936618 1940808 2676138 2904927 2911212 3568184 3873236 4014207 5352276 5809854 5822424 7746472 8028414 8714781 10704552 11619708 16056828 17429562 23239416 32113656 34859124 69718248 186883637 373767274 560650911 747534548 1121301822 1495069096 1681952733 2242603644 3363905466 4485207288 6727810932 13455621864