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206646961 = 3137672689
BaseRepresentation
bin11000101000100…
…10111010110001
3112101211202100011
430110102322301
5410400200321
632301054521
75056320163
oct1424227261
9471752304
10206646961
11a6712a14
1259257441
1333a73911
141d632933
151321dae1
hexc512eb1

206646961 has 16 divisors (see below), whose sum is σ = 222430720. Its totient is φ = 191600640.

The previous prime is 206646959. The next prime is 206646977. The reversal of 206646961 is 169646602.

It is a cyclic number.

It is not a de Polignac number, because 206646961 - 21 = 206646959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206646901) 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 15 ways as a sum of consecutive naturals, for example, 75505 + ... + 78193.

It is an arithmetic number, because the mean of its divisors is an integer number (13901920).

Almost surely, 2206646961 is an apocalyptic number.

It is an amenable number.

206646961 is a deficient number, since it is larger than the sum of its proper divisors (15783759).

206646961 is a wasteful number, since it uses less digits than its factorization.

206646961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824.

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 206646961 is about 14375.2203809194. The cubic root of 206646961 is about 591.2116829935.

The spelling of 206646961 in words is "two hundred six million, six hundred forty-six thousand, nine hundred sixty-one".

Divisors: 1 31 37 67 1147 2077 2479 2689 76849 83359 99493 180163 3084283 5585053 6666031 206646961