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13314059352 = 23321170123981
BaseRepresentation
bin11000110011001010…
…00110110001011000
31021100212202021220100
430121211012301120
5204231344344402
610041050255400
7650635431366
oct143145066130
937325667810
1013314059352
115712491940
1226b6a27560
131342482c39
1490435c636
1552dcdb71c
hex319946c58

13314059352 has 96 divisors (see below), whose sum is σ = 39394751760. Its totient is φ = 4028640000.

The previous prime is 13314059329. The next prime is 13314059383. The reversal of 13314059352 is 25395041331.

13314059352 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 0 + 593 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 543202 + ... + 567182.

Almost surely, 213314059352 is an apocalyptic number.

13314059352 is a gapful number since it is divisible by the number (12) 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 13314059352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697375880).

13314059352 is an abundant number, since it is smaller than the sum of its proper divisors (26080692408).

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

13314059352 is a wasteful number, since it uses less digits than its factorization.

13314059352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24705 (or 24698 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13314059352 in words is "thirteen billion, three hundred fourteen million, fifty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 701 792 1402 2103 2804 4206 5608 6309 7711 8412 12618 15422 16824 23133 23981 25236 30844 46266 47962 50472 61688 69399 71943 92532 95924 138798 143886 185064 191848 215829 263791 277596 287772 431658 527582 555192 575544 791373 863316 1055164 1582746 1726632 2110328 2374119 3165492 4748238 6330984 9496476 16810681 18992952 33621362 50432043 67242724 100864086 134485448 151296129 184917491 201728172 302592258 369834982 403456344 554752473 605184516 739669964 1109504946 1210369032 1479339928 1664257419 2219009892 3328514838 4438019784 6657029676 13314059352