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19992115200 = 211352235659
BaseRepresentation
bin10010100111100111…
…110111100000000000
31220121021200200100010
4102213213313200000
5311420440141300
613103444224520
71305265114101
oct224747674000
956537620303
1019992115200
11852a034062
123a5b39b140
131b67b76a85
14d792323a8
157c020ea50
hex4a79f7800

19992115200 has 288 divisors, whose sum is σ = 68976835200. Its totient is φ = 5098536960.

The previous prime is 19992115183. The next prime is 19992115201. The reversal of 19992115200 is 251129991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19992115201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3529971 + ... + 3535629.

It is an arithmetic number, because the mean of its divisors is an integer number (239502900).

Almost surely, 219992115200 is an apocalyptic number.

19992115200 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 19992115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34488417600).

19992115200 is an abundant number, since it is smaller than the sum of its proper divisors (48984720000).

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

19992115200 is a wasteful number, since it uses less digits than its factorization.

19992115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 39.

The spelling of 19992115200 in words is "nineteen billion, nine hundred ninety-two million, one hundred fifteen thousand, two hundred".