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14164671564 = 2232637961681
BaseRepresentation
bin11010011000100011…
…11011110001001100
31100120011022212111100
431030101323301030
5213002123442224
610301314023100
71011004502361
oct151421736114
940504285440
1014164671564
11600965143a
1228b3877a90
131449776a84
14985300468
1557d80eac9
hex34c47bc4c

14164671564 has 36 divisors (see below), whose sum is σ = 35811335560. Its totient is φ = 4720740480.

The previous prime is 14164671539. The next prime is 14164671613. The reversal of 14164671564 is 46517646141.

14164671564 is a `hidden beast` number, since 1 + 4 + 16 + 4 + 6 + 71 + 564 = 666.

14164671564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198804 + ... + 260484.

Almost surely, 214164671564 is an apocalyptic number.

It is an amenable number.

14164671564 is an abundant number, since it is smaller than the sum of its proper divisors (21646663996).

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

14164671564 is a wasteful number, since it uses less digits than its factorization.

14164671564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68070 (or 68065 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 14164671564 in words is "fourteen billion, one hundred sixty-four million, six hundred seventy-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6379 12758 19137 25516 38274 57411 61681 76548 114822 123362 185043 229644 246724 370086 555129 740172 1110258 2220516 393463099 786926198 1180389297 1573852396 2360778594 3541167891 4721557188 7082335782 14164671564