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19899465600 = 2735271717419
BaseRepresentation
bin10010100010000110…
…011011111110000000
31220100211100120222110
4102202012123332000
5311223230344400
613050334335320
71303061444460
oct224206337600
956324316873
1019899465600
118491803043
123a3435a540
131b51907b21
14d6abd5ba0
157b700ce50
hex4a219bf80

19899465600 has 384 divisors, whose sum is σ = 79318137600. Its totient is φ = 4280647680.

The previous prime is 19899465577. The next prime is 19899465629. The reversal of 19899465600 is 656499891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133691 + ... + 1151109.

It is an arithmetic number, because the mean of its divisors is an integer number (206557650).

Almost surely, 219899465600 is an apocalyptic number.

19899465600 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 19899465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39659068800).

19899465600 is an abundant number, since it is smaller than the sum of its proper divisors (59418672000).

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

19899465600 is a wasteful number, since it uses less digits than its factorization.

19899465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 19899465600 in words is "nineteen billion, eight hundred ninety-nine million, four hundred sixty-five thousand, six hundred".