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14217072384 = 28318511813
BaseRepresentation
bin11010011110110011…
…10100111100000000
31100200210221002220110
431033121310330000
5213104032304014
610310425111320
71012212056424
oct151731647400
940623832813
1014217072384
1160361919a9
122909328540
131457592b88
1498c260b84
15583210d59
hex34f674f00

14217072384 has 36 divisors (see below), whose sum is σ = 37838147816. Its totient is φ = 4739023872.

The previous prime is 14217072379. The next prime is 14217072391. The reversal of 14217072384 is 48327071241.

14217072384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 9255139 + ... + 9256674.

Almost surely, 214217072384 is an apocalyptic number.

It is an amenable number.

14217072384 is an abundant number, since it is smaller than the sum of its proper divisors (23621075432).

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

14217072384 is an equidigital number, since it uses as much as digits as its factorization.

14217072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18511832 (or 18511818 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 14217072384 in words is "fourteen billion, two hundred seventeen million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 18511813 37023626 55535439 74047252 111070878 148094504 222141756 296189008 444283512 592378016 888567024 1184756032 1777134048 2369512064 3554268096 4739024128 7108536192 14217072384