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19243920024 = 23327195934061
BaseRepresentation
bin10001111011000001…
…101110101010011000
31211200010211102111200
4101323001232222120
5303402420420044
612501315554200
71250611423050
oct217301565230
954603742450
1019243920024
118185766a3a
1238908bb960
131a78b61934
14d07b10560
157796bc369
hex47b06ea98

19243920024 has 192 divisors, whose sum is σ = 63764064000. Its totient is φ = 5120444160.

The previous prime is 19243920019. The next prime is 19243920053. The reversal of 19243920024 is 42002934291.

19243920024 is a `hidden beast` number, since 19 + 2 + 439 + 200 + 2 + 4 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 547954 + ... + 582014.

It is an arithmetic number, because the mean of its divisors is an integer number (332104500).

Almost surely, 219243920024 is an apocalyptic number.

19243920024 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 19243920024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31882032000).

19243920024 is an abundant number, since it is smaller than the sum of its proper divisors (44520143976).

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

19243920024 is a wasteful number, since it uses less digits than its factorization.

19243920024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34158 (or 34151 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 19243920024 in words is "nineteen billion, two hundred forty-three million, nine hundred twenty thousand, twenty-four".