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19992000800 = 255249992
BaseRepresentation
bin10010100111100111…
…011011100100100000
31220121021110212102002
4102213213123210200
5311420423011200
613103441543132
71305264126422
oct224747334440
956537425362
1019992000800
118529a66112
123a5b344aa8
131b67b36995
14d79202812
157c01dabd5
hex4a79db920

19992000800 has 54 divisors (see below), whose sum is σ = 48815236953. Its totient is φ = 7995200640.

The previous prime is 19992000767. The next prime is 19992000817. The reversal of 19992000800 is 800029991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19592160784 + 399840016 = 139972^2 + 19996^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99980.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3996701 + ... + 4001699.

Almost surely, 219992000800 is an apocalyptic number.

19992000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19992000800 is an abundant number, since it is smaller than the sum of its proper divisors (28823236153).

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

19992000800 is an frugal number, since it uses more digits than its factorization.

19992000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 19992000800 in words is "nineteen billion, nine hundred ninety-two million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4999 9998 19996 24995 39992 49990 79984 99980 124975 159968 199960 249950 399920 499900 799840 999800 1999600 3999200 24990001 49980002 99960004 124950005 199920008 249900010 399840016 499800020 624750025 799680032 999600040 1249500050 1999200080 2499000100 3998400160 4998000200 9996000400 19992000800