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14889042504 = 23327196171359
BaseRepresentation
bin11011101110111010…
…01100001001001000
31102102122100201121200
431313131030021020
5220443043330004
610501231504200
71034651526120
oct156735141110
942378321550
1014889042504
116350527006
122a76388060
131533869c2b
14a135bdc80
155c21e8239
hex37774c248

14889042504 has 384 divisors, whose sum is σ = 50139648000. Its totient is φ = 3897331200.

The previous prime is 14889042449. The next prime is 14889042521. The reversal of 14889042504 is 40524098841.

14889042504 is a `hidden beast` number, since 14 + 8 + 8 + 90 + 42 + 504 = 666.

14889042504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14889042504.

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 95 ways as a sum of consecutive naturals, for example, 41473477 + ... + 41473835.

It is an arithmetic number, because the mean of its divisors is an integer number (130572000).

Almost surely, 214889042504 is an apocalyptic number.

14889042504 is a gapful number since it is divisible by the number (14) 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 14889042504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25069824000).

14889042504 is an abundant number, since it is smaller than the sum of its proper divisors (35250605496).

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

14889042504 is a wasteful number, since it uses less digits than its factorization.

14889042504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 14889042504 in words is "fourteen billion, eight hundred eighty-nine million, forty-two thousand, five hundred four".