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12806000703 = 3217195238423
BaseRepresentation
bin10111110110100110…
…00001000000111111
31020001110202020110100
423323103001000333
5202211314010303
65514421012143
7632226132006
oct137323010077
936043666410
1012806000703
115481720961
122594854053
131291138b12
14896aa9c3d
154ee3d08a3
hex2fb4c103f

12806000703 has 48 divisors (see below), whose sum is σ = 20658343680. Its totient is φ = 7596778752.

The previous prime is 12806000689. The next prime is 12806000717. The reversal of 12806000703 is 30700060821.

12806000703 is a nontrivial binomial coefficient, being equal to C(160038, 2).

It is an interprime number because it is at equal distance from previous prime (12806000689) and next prime (12806000717).

It is not a de Polignac number, because 12806000703 - 218 = 12805738559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12806000723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1516150 + ... + 1524572.

It is an arithmetic number, because the mean of its divisors is an integer number (430382160).

Almost surely, 212806000703 is an apocalyptic number.

12806000703 is the 160037-th triangular number and also the 80019-th hexagonal number.

12806000703 is a deficient number, since it is larger than the sum of its proper divisors (7852342977).

12806000703 is a wasteful number, since it uses less digits than its factorization.

12806000703 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12806000703 in words is "twelve billion, eight hundred six million, seven hundred three", and thus it is an aban number.

Divisors: 1 3 9 17 19 51 57 153 171 323 523 969 1569 2907 4707 8423 8891 9937 25269 26673 29811 75807 80019 89433 143191 160037 168929 429573 480111 506787 1288719 1440333 1520361 2720629 4405229 8161887 13215687 24485661 39647061 74888893 83699351 224666679 251098053 674000037 753294159 1422888967 4268666901 12806000703