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199527952817 = 17104681112121
BaseRepresentation
bin1011100111010011001…
…0101111000110110001
3201002000110001012111102
42321310302233012301
511232113123442232
6231354544254145
720262326421104
oct2716462570661
9632013035442
10199527952817
117768a367166
1232805611355
1315a7a5a330b
14992b52473b
1552cbccd662
hex2e74caf1b1

199527952817 has 8 divisors (see below), whose sum is σ = 211268793672. Its totient is φ = 187787545600.

The previous prime is 199527952711. The next prime is 199527952829. The reversal of 199527952817 is 718259725991.

It can be written as a sum of positive squares in 4 ways, for example, as 4136547856 + 195391404961 = 64316^2 + 442031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 199527952817 - 212 = 199527948721 is a prime.

It is a super-2 number, since 2×1995279528172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199527952517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1723517 + ... + 1835637.

It is an arithmetic number, because the mean of its divisors is an integer number (26408599209).

Almost surely, 2199527952817 is an apocalyptic number.

199527952817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

199527952817 is a deficient number, since it is larger than the sum of its proper divisors (11740840855).

199527952817 is a wasteful number, since it uses less digits than its factorization.

199527952817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216819.

The product of its digits is 28576800, while the sum is 65.

The spelling of 199527952817 in words is "one hundred ninety-nine billion, five hundred twenty-seven million, nine hundred fifty-two thousand, eight hundred seventeen".

Divisors: 1 17 104681 112121 1779577 1906057 11736938401 199527952817