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19996000200 = 2334521121012
BaseRepresentation
bin10010100111110110…
…101011111111001000
31220121120000001120000
4102213312223333020
5311422434001300
613104103403000
71305343124451
oct224766537710
956546001500
1019996000200
118531247a00
123a60753460
131b689071a7
14d79964128
157c072ac00
hex4a7dabfc8

19996000200 has 540 divisors, whose sum is σ = 77099873235. Its totient is φ = 4799520000.

The previous prime is 19996000147. The next prime is 19996000207. The reversal of 19996000200 is 200069991.

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 5 ways, for example, as 17756628516 + 2239371684 = 133254^2 + 47322^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99990.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19996000207) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 197980150 + ... + 197980250.

Almost surely, 219996000200 is an apocalyptic number.

19996000200 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 19996000200

19996000200 is an abundant number, since it is smaller than the sum of its proper divisors (57103873035).

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

19996000200 is a wasteful number, since it uses less digits than its factorization.

19996000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 19996000200 in words is "nineteen billion, nine hundred ninety-six million, two hundred", and thus it is an aban number.