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14994790272 = 27327211193141
BaseRepresentation
bin11011111011100001…
…00101011110000000
31102201000100021021200
431331300211132000
5221202131242042
610515530221200
71040404420500
oct157560453600
942630307250
1014994790272
1163a5193960
122aa5884800
13154c743987
14a23669a00
155cb635c4c
hex37dc25780

14994790272 has 1152 divisors, whose sum is σ = 60949324800. Its totient is φ = 3483648000.

The previous prime is 14994790249. The next prime is 14994790301. The reversal of 14994790272 is 27209749941.

14994790272 is a `hidden beast` number, since 1 + 499 + 47 + 90 + 27 + 2 = 666.

14994790272 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 (1152).

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 143 ways as a sum of consecutive naturals, for example, 365726572 + ... + 365726612.

It is an arithmetic number, because the mean of its divisors is an integer number (52907400).

Almost surely, 214994790272 is an apocalyptic number.

14994790272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14994790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

14994790272 is an abundant number, since it is smaller than the sum of its proper divisors (45954534528).

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

14994790272 is a wasteful number, since it uses less digits than its factorization.

14994790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 14994790272 in words is "fourteen billion, nine hundred ninety-four million, seven hundred ninety thousand, two hundred seventy-two".