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19998093888 = 263417376133
BaseRepresentation
bin10010100111111110…
…101011001001000000
31220121200221102120000
4102213332223021000
5311424003001023
613104220320000
71305366664503
oct224776531100
956550842500
1019998093888
118532447a23
123a613a3000
131b6918b166
14d79d4b13a
157c09e1243
hex4a7fab240

19998093888 has 280 divisors, whose sum is σ = 64474645752. Its totient is φ = 6103351296.

The previous prime is 19998093839. The next prime is 19998093919. The reversal of 19998093888 is 88839089991.

It can be written as a sum of positive squares in 4 ways, for example, as 15407760384 + 4590333504 = 124128^2 + 67752^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 3257670 + ... + 3263802.

Almost surely, 219998093888 is an apocalyptic number.

19998093888 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 19998093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32237322876).

19998093888 is an abundant number, since it is smaller than the sum of its proper divisors (44476551864).

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

19998093888 is a wasteful number, since it uses less digits than its factorization.

19998093888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 72.

The spelling of 19998093888 in words is "nineteen billion, nine hundred ninety-eight million, ninety-three thousand, eight hundred eighty-eight".