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199848991 = 1721933583
BaseRepresentation
bin10111110100101…
…11010000011111
3111221001101021111
423322113100133
5402130131431
631455242451
74644455056
oct1372272037
9457041244
10199848991
11a289a561
1256b19427
1332533654
141c78339d
15128297b1
hexbe9741f

199848991 has 12 divisors (see below), whose sum is σ = 213455872. Its totient is φ = 187066368.

The previous prime is 199848983. The next prime is 199849019.

199848991 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 199848991 - 23 = 199848983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199848931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53986 + ... + 57568.

Almost surely, 2199848991 is an apocalyptic number.

199848991 is a deficient number, since it is larger than the sum of its proper divisors (13606881).

199848991 is a wasteful number, since it uses less digits than its factorization.

199848991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3793 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 58.

The square root of 199848991 is about 14136.7956411628. The cubic root of 199848991 is about 584.6563262519.

The spelling of 199848991 in words is "one hundred ninety-nine million, eight hundred forty-eight thousand, nine hundred ninety-one".

Divisors: 1 17 193 289 3281 3583 55777 60911 691519 1035487 11755823 199848991