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19017019944 = 2334131737297
BaseRepresentation
bin10001101101100000…
…001011001000101000
31211002022212201010000
4101231200023020220
5302421324114234
612423012423000
71242155000556
oct215540131050
954068781100
1019017019944
11807968060a
123828917a60
131a40b49630
14cc5928bd6
157647ec899
hex46d80b228

19017019944 has 480 divisors, whose sum is σ = 63066298680. Its totient is φ = 5303107584.

The previous prime is 19017019943. The next prime is 19017019951. The reversal of 19017019944 is 44991071091.

It can be written as a sum of positive squares in 12 ways, for example, as 9304917444 + 9712102500 = 96462^2 + 98550^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19017019944.

It is not an unprimeable number, because it can be changed into a prime (19017019943) 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 119 ways as a sum of consecutive naturals, for example, 196051704 + ... + 196051800.

Almost surely, 219017019944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19017019944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31533149340).

19017019944 is an abundant number, since it is smaller than the sum of its proper divisors (44049278736).

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

19017019944 is a wasteful number, since it uses less digits than its factorization.

19017019944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 19017019944 in words is "nineteen billion, seventeen million, nineteen thousand, nine hundred forty-four".