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206269713 = 3313593991
BaseRepresentation
bin11000100101101…
…10110100010001
3112101010120212000
430102312310101
5410301112323
632245024213
75053156266
oct1422666421
9471116760
10206269713
11a6485541
12590b5069
1333970cb0
141d57526d
1513196e43
hexc4b6d11

206269713 has 32 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 126593280.

The previous prime is 206269703. The next prime is 206269733. The reversal of 206269713 is 317962602.

206269713 is a `hidden beast` number, since 20 + 626 + 9 + 7 + 1 + 3 = 666.

It is not a de Polignac number, because 206269713 - 218 = 206007569 is a prime.

It is a super-2 number, since 2×2062697132 = 85094389002204738, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (206269703) by changing a digit.

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, 207648 + ... + 208638.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2206269713 is an apocalyptic number.

It is an amenable number.

206269713 is a deficient number, since it is larger than the sum of its proper divisors (123709167).

206269713 is a wasteful number, since it uses less digits than its factorization.

206269713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 206269713 is about 14362.0929185130. The cubic root of 206269713 is about 590.8516982114.

The spelling of 206269713 in words is "two hundred six million, two hundred sixty-nine thousand, seven hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 593 991 1779 2973 5337 7709 8919 12883 16011 23127 26757 38649 69381 115947 208143 347841 587663 1762989 5288967 7639619 15866901 22918857 68756571 206269713