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199897696768 = 2972115379173
BaseRepresentation
bin1011101000101011010…
…1001100101000000000
3201002222012210010211211
42322022311030220000
511233342302244033
6231455353215504
720304436246600
oct2721265145000
9632865703754
10199897696768
117785a047280
12328a9401594
1315b09080213
149964690c00
1552ee4b72cd
hex2e8ad4ca00

199897696768 has 480 divisors, whose sum is σ = 525974549760. Its totient is φ = 75009392640.

The previous prime is 199897696753. The next prime is 199897696787. The reversal of 199897696768 is 867696798991.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155477930 + ... + 1155478102.

It is an arithmetic number, because the mean of its divisors is an integer number (1095780312).

Almost surely, 2199897696768 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 199897696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262987274880).

199897696768 is an abundant number, since it is smaller than the sum of its proper divisors (326076852992).

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

199897696768 is a wasteful number, since it uses less digits than its factorization.

199897696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its digits is 4444263936, while the sum is 85.

The spelling of 199897696768 in words is "one hundred ninety-nine billion, eight hundred ninety-seven million, six hundred ninety-six thousand, seven hundred sixty-eight".