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18074935296 = 2133311171923
BaseRepresentation
bin10000110101010110…
…011010000000000000
31201122200011211221000
4100311112122000000
5244004140412141
612145320332000
71206625262235
oct206526320000
951580154830
1018074935296
117735914460
123605314000
1319209095b2
14c3677578c
1570bc5b5b6
hex43559a000

18074935296 has 896 divisors, whose sum is σ = 67943577600. Its totient is φ = 4671406080.

The previous prime is 18074935289. The next prime is 18074935309. The reversal of 18074935296 is 69253947081.

18074935296 is a `hidden beast` number, since 18 + 0 + 7 + 493 + 52 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785866741 + ... + 785866763.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18074935296 = 36149870592, but 3⋅18074935296 = 54224805888 is not.

Almost surely, 218074935296 is an apocalyptic number.

18074935296 is a gapful number since it is divisible by the number (16) 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 18074935296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33971788800).

18074935296 is an abundant number, since it is smaller than the sum of its proper divisors (49868642304).

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

18074935296 is a wasteful number, since it uses less digits than its factorization.

18074935296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

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

The spelling of 18074935296 in words is "eighteen billion, seventy-four million, nine hundred thirty-five thousand, two hundred ninety-six".