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16508104704 = 2123272131937
BaseRepresentation
bin11110101111111010…
…11011000000000000
31120121110220121102100
433113331123000000
5232302033322304
611330025550400
71123041401100
oct172775330000
946543817370
1016508104704
117001438443
123248645400
1317311182c0
14b28637200
15669410439
hex3d7f5b000

16508104704 has 936 divisors, whose sum is σ = 64579809840. Its totient is φ = 4013162496.

The previous prime is 16508104631. The next prime is 16508104727. The reversal of 16508104704 is 40740180561.

It is a happy number.

16508104704 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 (936).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 446164974 + ... + 446165010.

Almost surely, 216508104704 is an apocalyptic number.

16508104704 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 16508104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289904920).

16508104704 is an abundant number, since it is smaller than the sum of its proper divisors (48071705136).

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

16508104704 is a wasteful number, since it uses less digits than its factorization.

16508104704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 16508104704 in words is "sixteen billion, five hundred eight million, one hundred four thousand, seven hundred four".