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14456852384 = 251334752049
BaseRepresentation
bin11010111011011001…
…00000111110100000
31101022112010012020012
431131230200332200
5214101423234014
610350312304052
71021153134452
oct153554407640
941275105205
1014456852384
116149575197
1229756a2028
131495167830
149b203a2d2
155992c6c3e
hex35db20fa0

14456852384 has 24 divisors (see below), whose sum is σ = 30651308100. Its totient is φ = 6672393216.

The previous prime is 14456852381. The next prime is 14456852407. The reversal of 14456852384 is 48325865441.

14456852384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13930608784 + 526243600 = 118028^2 + 22940^2 .

It is not an unprimeable number, because it can be changed into a prime (14456852381) by changing a digit.

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, 17375609 + ... + 17376440.

Almost surely, 214456852384 is an apocalyptic number.

It is an amenable number.

14456852384 is an abundant number, since it is smaller than the sum of its proper divisors (16194455716).

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

14456852384 is a wasteful number, since it uses less digits than its factorization.

14456852384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34752072 (or 34752064 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The spelling of 14456852384 in words is "fourteen billion, four hundred fifty-six million, eight hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 34752049 69504098 139008196 278016392 451776637 556032784 903553274 1112065568 1807106548 3614213096 7228426192 14456852384