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14164362864 = 243373449149
BaseRepresentation
bin11010011000100001…
…10000011001110000
31100120010202012001000
431030100300121300
5213002034102424
610301303242000
71011002045361
oct151420603160
940503665030
1014164362864
116009460513
1228b3749300
131449699402
1498525db68
1557d79d3c9
hex34c430670

14164362864 has 80 divisors (see below), whose sum is σ = 41214004000. Its totient is φ = 4656766464.

The previous prime is 14164362857. The next prime is 14164362893. The reversal of 14164362864 is 46826346141.

14164362864 is a `hidden beast` number, since 1 + 4 + 16 + 4 + 3 + 628 + 6 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193039 + ... + 256110.

It is an arithmetic number, because the mean of its divisors is an integer number (515175050).

Almost surely, 214164362864 is an apocalyptic number.

It is an amenable number.

14164362864 is an abundant number, since it is smaller than the sum of its proper divisors (27049641136).

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

14164362864 is a wasteful number, since it uses less digits than its factorization.

14164362864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449239 (or 449227 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 14164362864 in words is "fourteen billion, one hundred sixty-four million, three hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 449149 898298 1347447 1796596 2694894 3593192 4042341 5389788 7186384 8084682 10779576 12127023 16169364 21559152 24254046 32338728 32787877 48508092 64677456 65575754 97016184 98363631 131151508 194032368 196727262 262303016 295090893 393454524 524606032 590181786 786909048 885272679 1180363572 1573818096 1770545358 2360727144 3541090716 4721454288 7082181432 14164362864