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16793985024 = 213321713399
BaseRepresentation
bin11111010001111111…
…11110000000000000
31121100101211211111100
433220333332000000
5233343230010044
611414241214400
71133112342315
oct175077760000
947311754440
1016793985024
117138848573
123308331400
13177841135b
14b545b2d0c
15684580869
hex3e8ffe000

16793985024 has 168 divisors, whose sum is σ = 51370534800. Its totient is φ = 5268307968.

The previous prime is 16793985011. The next prime is 16793985053. The reversal of 16793985024 is 42058939761.

16793985024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1246677 + ... + 1260075.

It is a 1-persistent number, because it is pandigital, but 2⋅16793985024 = 33587970048 is not.

Almost surely, 216793985024 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 16793985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685267400).

16793985024 is an abundant number, since it is smaller than the sum of its proper divisors (34576549776).

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

16793985024 is a wasteful number, since it uses less digits than its factorization.

16793985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 16793985024 in words is "sixteen billion, seven hundred ninety-three million, nine hundred eighty-five thousand, twenty-four".