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14264168832 = 273219651689
BaseRepresentation
bin11010100100011010…
…11111000110000000
31100211002112212002100
431102031133012000
5213203111400312
610315230350400
71013323302024
oct152215370600
940732485070
1014264168832
11605a82a191
12292105b400
1314642727b4
14994600384
155874155dc
hex35235f180

14264168832 has 96 divisors (see below), whose sum is σ = 43207047000. Its totient is φ = 4504467456.

The previous prime is 14264168827. The next prime is 14264168887. The reversal of 14264168832 is 23886146241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 303957 + ... + 347732.

Almost surely, 214264168832 is an apocalyptic number.

14264168832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14264168832 is an abundant number, since it is smaller than the sum of its proper divisors (28942878168).

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

14264168832 is a wasteful number, since it uses less digits than its factorization.

14264168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651728 (or 651713 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 14264168832 in words is "fourteen billion, two hundred sixty-four million, one hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 651689 1303378 1955067 2606756 3910134 5213512 5865201 7820268 10427024 11730402 12382091 15640536 20854048 23460804 24764182 31281072 37146273 41708096 46921608 49528364 62562144 74292546 83416192 93843216 99056728 111438819 125124288 148585092 187686432 198113456 222877638 250248576 297170184 375372864 396226912 445755276 594340368 750745728 792453824 891510552 1188680736 1584907648 1783021104 2377361472 3566042208 4754722944 7132084416 14264168832