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19992999600 = 243252721759113
BaseRepresentation
bin10010100111101011…
…001111011010110000
31220121100100121111200
4102213223033122300
5311421201441400
613103515211200
71305305456400
oct224753173260
956540317450
1019992999600
11852a588572
123a5b746b00
131b680c64a2
14d793c2800
157c0336b00
hex4a7acf6b0

19992999600 has 1080 divisors, whose sum is σ = 87673875120. Its totient is φ = 4190699520.

The previous prime is 19992999599. The next prime is 19992999629. The reversal of 19992999600 is 699929991.

19992999600 is a `hidden beast` number, since 19 + 9 + 9 + 2 + 9 + 9 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 215 ways as a sum of consecutive naturals, for example, 176929144 + ... + 176929256.

It is an arithmetic number, because the mean of its divisors is an integer number (81179514).

Almost surely, 219992999600 is an apocalyptic number.

19992999600 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 19992999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43836937560).

19992999600 is an abundant number, since it is smaller than the sum of its proper divisors (67680875520).

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

19992999600 is a wasteful number, since it uses less digits than its factorization.

19992999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6377292, while the sum is 63.

The spelling of 19992999600 in words is "nineteen billion, nine hundred ninety-two million, nine hundred ninety-nine thousand, six hundred".