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19968726960 = 24335721323631
BaseRepresentation
bin10010100110001110…
…101001011110110000
31220112122200102201000
4102212032221132300
5311343443230320
613101251042000
71304562243600
oct224616513660
956478612630
1019968726960
11851790a136
123a535a0300
131b63078390
14d760a4c00
157bd13ec90
hex4a63a97b0

19968726960 has 960 divisors, whose sum is σ = 90054236160. Its totient is φ = 4023613440.

The previous prime is 19968726889. The next prime is 19968726977. The reversal of 19968726960 is 6962786991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 31645845 + ... + 31646475.

It is an arithmetic number, because the mean of its divisors is an integer number (93806496).

Almost surely, 219968726960 is an apocalyptic number.

19968726960 is a gapful number since it is divisible by the number (10) 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 19968726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45027118080).

19968726960 is an abundant number, since it is smaller than the sum of its proper divisors (70085509200).

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

19968726960 is a wasteful number, since it uses less digits than its factorization.

19968726960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 19968726960 in words is "nineteen billion, nine hundred sixty-eight million, seven hundred twenty-six thousand, nine hundred sixty".