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14681993235 = 357313317397
BaseRepresentation
bin11011010110001110…
…10111000000010011
31101220012202112102020
431223013113000103
5220032042240420
610424514022523
71026555612000
oct155307270023
941805675366
1014681993235
116254669908
122a18b77a43
1314cc9b5180
149d3cc48a7
155ade4a340
hex36b1d7013

14681993235 has 256 divisors, whose sum is σ = 31189401600. Its totient is φ = 5852528640.

The previous prime is 14681993219. The next prime is 14681993243. The reversal of 14681993235 is 53239918641.

14681993235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14681993235 - 24 = 14681993219 is a prime.

Its product of digits (1399680) is a multiple of the sum of its prime factors (243).

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 255 ways as a sum of consecutive naturals, for example, 151360707 + ... + 151360803.

It is an arithmetic number, because the mean of its divisors is an integer number (121833600).

Almost surely, 214681993235 is an apocalyptic number.

14681993235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14681993235 is an abundant number, since it is smaller than the sum of its proper divisors (16507408365).

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

14681993235 is a wasteful number, since it uses less digits than its factorization.

14681993235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 14681993235 in words is "fourteen billion, six hundred eighty-one million, nine hundred ninety-three thousand, two hundred thirty-five".