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199987005568 = 27717193122291
BaseRepresentation
bin1011101001000000100…
…1111000100010000000
3201010012102211111111011
42322100021320202000
511234033133134233
6231512303330304
720306602333240
oct2722011704200
9633172744434
10199987005568
11778a54a62a9
12329132b0994
1315b2171c66c
14997249bb20
1553072590cd
hex2e90278880

199987005568 has 256 divisors, whose sum is σ = 523879833600. Its totient is φ = 73952870400.

The previous prime is 199987005521. The next prime is 199987005571. The reversal of 199987005568 is 865500789991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8960503 + ... + 8982793.

It is an arithmetic number, because the mean of its divisors is an integer number (2046405600).

Almost surely, 2199987005568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199987005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261939916800).

199987005568 is an abundant number, since it is smaller than the sum of its proper divisors (323892828032).

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

199987005568 is a wasteful number, since it uses less digits than its factorization.

199987005568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22379 (or 22367 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 67.

The spelling of 199987005568 in words is "one hundred ninety-nine billion, nine hundred eighty-seven million, five thousand, five hundred sixty-eight".