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13334242752 = 263243495323
BaseRepresentation
bin11000110101100100…
…00110010111000000
31021102021201201022200
430122302012113000
5204302031232002
610043051033200
7651302123205
oct143262062700
937367651280
1013334242752
115722917a36
12270173b800
1313466cb98c
14906cd3cac
15530976b1c
hex31ac865c0

13334242752 has 84 divisors (see below), whose sum is σ = 38236169400. Its totient is φ = 4442890752.

The previous prime is 13334242697. The next prime is 13334242777. The reversal of 13334242752 is 25724243331.

13334242752 is a `hidden beast` number, since 13 + 334 + 242 + 75 + 2 = 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 11 ways as a sum of consecutive naturals, for example, 2502363 + ... + 2507685.

Almost surely, 213334242752 is an apocalyptic number.

13334242752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13334242752 is an abundant number, since it is smaller than the sum of its proper divisors (24901926648).

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

13334242752 is a wasteful number, since it uses less digits than its factorization.

13334242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9677 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The spelling of 13334242752 in words is "thirteen billion, three hundred thirty-four million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4349 5323 8698 10646 13047 15969 17396 21292 26094 31938 34792 39141 42584 47907 52188 63876 69584 78282 85168 95814 104376 127752 139168 156564 170336 191628 208752 255504 278336 313128 340672 383256 417504 511008 626256 766512 835008 1022016 1252512 1533024 2505024 3066048 23149727 46299454 69449181 92598908 138898362 185197816 208347543 277796724 370395632 416695086 555593448 740791264 833390172 1111186896 1481582528 1666780344 2222373792 3333560688 4444747584 6667121376 13334242752