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19992960000 = 21033541389
BaseRepresentation
bin10010100111101011…
…000101110000000000
31220121100021121012000
4102213223011300000
5311421144210000
613103514304000
71305305233056
oct224753056000
956540247160
1019992960000
11852a560842
123a5b728000
131b680b1460
14d793b21d6
157c032a000
hex4a7ac5c00

19992960000 has 880 divisors, whose sum is σ = 80574832800. Its totient is φ = 4866048000.

The previous prime is 19992959993. The next prime is 19992960019. The reversal of 19992960000 is 6929991.

It is a happy number.

19992960000 is a `hidden beast` number, since 19 + 9 + 9 + 29 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224639956 + ... + 224640044.

It is an arithmetic number, because the mean of its divisors is an integer number (91562310).

Almost surely, 219992960000 is an apocalyptic number.

19992960000 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 19992960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287416400).

19992960000 is an abundant number, since it is smaller than the sum of its proper divisors (60581872800).

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

19992960000 is an equidigital number, since it uses as much as digits as its factorization.

19992960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 19992960000 in words is "nineteen billion, nine hundred ninety-two million, nine hundred sixty thousand".