Search a number
-
+
14790968064 = 28342331013
BaseRepresentation
bin11011100011001110…
…00100001100000000
31102011210211000210000
431301213010030000
5220242441434224
610443405440000
71032351103605
oct156147041400
942153730700
1014790968064
116300130254
122a49570000
13151944ba12
14a045706ac
155b87c40c9
hex3719c4300

14790968064 has 180 divisors, whose sum is σ = 46023039216. Its totient is φ = 4715808768.

The previous prime is 14790968051. The next prime is 14790968069. The reversal of 14790968064 is 46086909741.

14790968064 is a `hidden beast` number, since 1 + 479 + 0 + 96 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14790968064.

It is not an unprimeable number, because it can be changed into a prime (14790968069) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 461422 + ... + 492434.

Almost surely, 214790968064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14790968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011519608).

14790968064 is an abundant number, since it is smaller than the sum of its proper divisors (31232071152).

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

14790968064 is an equidigital number, since it uses as much as digits as its factorization.

14790968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31064 (or 31041 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 14790968064 in words is "fourteen billion, seven hundred ninety million, nine hundred sixty-eight thousand, sixty-four".