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199405791 = 32132374101
BaseRepresentation
bin10111110001010…
…11000011011111
3111220012212022200
423320223003133
5402021441131
631441542543
74640630664
oct1370530337
9456185280
10199405791
11a2617582
1256944a53
13324099c0
141c6a9a6b
151278d2e6
hexbe2b0df

199405791 has 24 divisors (see below), whose sum is σ = 323677536. Its totient is φ = 117374400.

The previous prime is 199405777. The next prime is 199405793. The reversal of 199405791 is 197504991.

It is not a de Polignac number, because 199405791 - 213 = 199397599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199405793) 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 23 ways as a sum of consecutive naturals, for example, 34360 + ... + 39741.

It is an arithmetic number, because the mean of its divisors is an integer number (13486564).

Almost surely, 2199405791 is an apocalyptic number.

199405791 is a deficient number, since it is larger than the sum of its proper divisors (124271745).

199405791 is a wasteful number, since it uses less digits than its factorization.

199405791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74143 (or 74140 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 199405791 is about 14121.1115355697. Note that the first 3 decimals coincide. The cubic root of 199405791 is about 584.2238139059.

The spelling of 199405791 in words is "one hundred ninety-nine million, four hundred five thousand, seven hundred ninety-one".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 74101 222303 666909 963313 1704323 2889939 5112969 8669817 15338907 22156199 66468597 199405791