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206829000703 = 13293798531697
BaseRepresentation
bin1100000010011111111…
…0000001011111111111
3201202212021020212100101
43000213332001133333
511342041211010303
6235003235141531
720641262333023
oct3004776013777
9652767225311
10206829000703
117a796640536
12341027448a7
1316672082cb0
14a021048383
1555a7c61d1d
hex3027f817ff

206829000703 has 32 divisors (see below), whose sum is σ = 231434683200. Its totient is φ = 183525543936.

The previous prime is 206829000671. The next prime is 206829000709. The reversal of 206829000703 is 307000928602.

206829000703 is a nontrivial binomial coefficient, being equal to C(643163, 2).

It is a cyclic number.

It is not a de Polignac number, because 206829000703 - 25 = 206829000671 is a prime.

It is a super-3 number, since 3×2068290007033 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206829000709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121878351 + ... + 121880047.

It is an arithmetic number, because the mean of its divisors is an integer number (7232333850).

Almost surely, 2206829000703 is an apocalyptic number.

206829000703 is the 643162-nd triangular number.

206829000703 is the 214388-th centered nonagonal number.

206829000703 is a deficient number, since it is larger than the sum of its proper divisors (24605682497).

206829000703 is a wasteful number, since it uses less digits than its factorization.

206829000703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 206829000703 in words is "two hundred six billion, eight hundred twenty-nine million, seven hundred three", and thus it is an aban number.

Divisors: 1 13 29 377 379 853 1697 4927 10991 11089 22061 24737 49213 142883 321581 323287 639769 643163 1447541 4202731 8361119 9375323 18651727 18818033 41978689 121879199 242472451 545722957 548618039 7132034507 15909923131 206829000703