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12694182151 = 729389160753
BaseRepresentation
bin10111101001010000…
…11101100100000111
31012202200100021020111
423310220131210013
5201444202312101
65455344213451
7626400524260
oct136450354407
935680307214
1012694182151
115424597a32
12256330a287
131273c17ab1
14885cbd967
154e4694251
hex2f4a1d907

12694182151 has 16 divisors (see below), whose sum is σ = 15046574400. Its totient is φ = 10478458368.

The previous prime is 12694182133. The next prime is 12694182197. The reversal of 12694182151 is 15128149621.

12694182151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12694182151 - 25 = 12694182119 is a prime.

It is a super-2 number, since 2×126941821512 (a number of 21 digits) contains 22 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 (12694182101) 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 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 159343.

It is an arithmetic number, because the mean of its divisors is an integer number (940410900).

Almost surely, 212694182151 is an apocalyptic number.

12694182151 is a deficient number, since it is larger than the sum of its proper divisors (2352392249).

12694182151 is a wasteful number, since it uses less digits than its factorization.

12694182151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161178.

The product of its digits is 34560, while the sum is 40.

The spelling of 12694182151 in words is "twelve billion, six hundred ninety-four million, one hundred eighty-two thousand, one hundred fifty-one".

Divisors: 1 7 29 203 389 2723 11281 78967 160753 1125271 4661837 32632859 62532917 437730419 1813454593 12694182151