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19863872900 = 2252198638729
BaseRepresentation
bin10010011111111110…
…101010010110000100
31220021100101021222022
4102133332222112010
5311140122413100
613043023422312
71302150063614
oct223776522604
956240337868
1019863872900
118473702793
123a24454998
131b47425361
14d661aca44
157b3d2be85
hex49ffaa584

19863872900 has 18 divisors (see below), whose sum is σ = 43104604410. Its totient is φ = 7945549120.

The previous prime is 19863872851. The next prime is 19863872911. The reversal of 19863872900 is 927836891.

It can be written as a sum of positive squares in 3 ways, for example, as 210076036 + 19653796864 = 14494^2 + 140192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99319265 + ... + 99319464.

It is an arithmetic number, because the mean of its divisors is an integer number (2394700245).

Almost surely, 219863872900 is an apocalyptic number.

19863872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19863872900 is an abundant number, since it is smaller than the sum of its proper divisors (23240731510).

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

19863872900 is a wasteful number, since it uses less digits than its factorization.

19863872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198638743 (or 198638736 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 19863872900 in words is "nineteen billion, eight hundred sixty-three million, eight hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 198638729 397277458 794554916 993193645 1986387290 3972774580 4965968225 9931936450 19863872900