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19823790096 = 2433112478069
BaseRepresentation
bin10010011101100101…
…110000100000010000
31220011112221212201000
4102131211300200100
5311044342240341
613035032342000
71301152302255
oct223545604020
956145855630
1019823790096
118453015a00
123a12b44900
131b3c02cc16
14d60b3742c
157b05608b6
hex49d970810

19823790096 has 240 divisors, whose sum is σ = 63883411200. Its totient is φ = 5878667520.

The previous prime is 19823790053. The next prime is 19823790121. The reversal of 19823790096 is 69009732891.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452750 + ... + 2460818.

It is an arithmetic number, because the mean of its divisors is an integer number (266180880).

Almost surely, 219823790096 is an apocalyptic number.

19823790096 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 19823790096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31941705600).

19823790096 is an abundant number, since it is smaller than the sum of its proper divisors (44059621104).

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

19823790096 is a wasteful number, since it uses less digits than its factorization.

19823790096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 19823790096 in words is "nineteen billion, eight hundred twenty-three million, seven hundred ninety thousand, ninety-six".