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19841980032 = 27327217232931
BaseRepresentation
bin10010011110101011…
…001001011010000000
31220012211012000121100
4102132223021122000
5311114021330112
613040522254400
71301463022200
oct223653113200
956184160540
1019841980032
11846230a306
123a19057400
131b42a2b4b4
14d63310400
157b1e552dc
hex49eac9680

19841980032 has 1152 divisors, whose sum is σ = 78363417600. Its totient is φ = 4768727040.

The previous prime is 19841979961. The next prime is 19841980051. The reversal of 19841980032 is 23008914891.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 19841980032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 640063857 + ... + 640063887.

It is an arithmetic number, because the mean of its divisors is an integer number (68023800).

Almost surely, 219841980032 is an apocalyptic number.

19841980032 is a gapful number since it is divisible by the number (12) 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 19841980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39181708800).

19841980032 is an abundant number, since it is smaller than the sum of its proper divisors (58521437568).

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

19841980032 is a wasteful number, since it uses less digits than its factorization.

19841980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19841980032 in words is "nineteen billion, eight hundred forty-one million, nine hundred eighty thousand, thirty-two".