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19923591168 = 2133313341
BaseRepresentation
bin10010100011100010…
…011110000000000000
31220102111202022001000
4102203202132000000
5311300414404133
613052555412000
71303503505425
oct224342360000
956374668030
1019923591168
1184a4390a28
123a40454000
131b56904000
14d700b5d4c
157b91c6413
hex4a389e000

19923591168 has 448 divisors, whose sum is σ = 65505787200. Its totient is φ = 5980815360.

The previous prime is 19923591151. The next prime is 19923591187. The reversal of 19923591168 is 86119532991.

19923591168 is a `hidden beast` number, since 19 + 9 + 23 + 591 + 16 + 8 = 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 31 ways as a sum of consecutive naturals, for example, 485941228 + ... + 485941268.

It is an arithmetic number, because the mean of its divisors is an integer number (146218275).

Almost surely, 219923591168 is an apocalyptic number.

19923591168 is a gapful number since it is divisible by the number (18) 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 19923591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32752893600).

19923591168 is an abundant number, since it is smaller than the sum of its proper divisors (45582196032).

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

19923591168 is an frugal number, since it uses more digits than its factorization.

19923591168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 19923591168 in words is "nineteen billion, nine hundred twenty-three million, five hundred ninety-one thousand, one hundred sixty-eight".