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19975864896 = 26341321512
BaseRepresentation
bin10010100110101001…
…111000001001000000
31220120011010002010000
4102212221320021000
5311402310134041
613102104040000
71305010023111
oct224651701100
956504102100
1019975864896
118520944a59
123a55a63000
131b646a7300
14d77002208
157bda9ebb6
hex4a6a78240

19975864896 has 315 divisors, whose sum is σ = 64547531433. Its totient is φ = 6105715200.

The previous prime is 19975864891. The next prime is 19975864901. The reversal of 19975864896 is 69846857991.

The square root of 19975864896 is 141336.

It is a perfect power (a square), and thus also a powerful number.

19975864896 is a `hidden beast` number, since 1 + 9 + 97 + 58 + 6 + 489 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (19975864891) and next prime (19975864901).

It can be written as a sum of positive squares in only one way, i.e., 2955009600 + 17020855296 = 54360^2 + 130464^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (19975864891) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 132290421 + ... + 132290571.

Almost surely, 219975864896 is an apocalyptic number.

19975864896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19975864896 is the 141336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19975864896

19975864896 is an abundant number, since it is smaller than the sum of its proper divisors (44571666537).

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

19975864896 is an equidigital number, since it uses as much as digits as its factorization.

19975864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 169 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 19975864896 in words is "nineteen billion, nine hundred seventy-five million, eight hundred sixty-four thousand, eight hundred ninety-six".