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12704845014 = 2321066766169
BaseRepresentation
bin10111101010100010…
…01000110011010110
31012210102101222221100
423311101020303112
5202004420020024
65500404530530
7626560254321
oct136521106326
935712358840
1012704845014
11542a610114
1225669b0a46
1312761ac294
148874977b8
154e559d7c9
hex2f5448cd6

12704845014 has 24 divisors (see below), whose sum is σ = 27530160840. Its totient is φ = 4234487328.

The previous prime is 12704845001. The next prime is 12704845019. The reversal of 12704845014 is 41054840721.

It is a happy number.

12704845014 is a `hidden beast` number, since 1 + 2 + 70 + 4 + 84 + 501 + 4 = 666.

12704845014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127048450142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12704845014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704845019) 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 11 ways as a sum of consecutive naturals, for example, 158922 + ... + 225090.

It is an arithmetic number, because the mean of its divisors is an integer number (1147090035).

Almost surely, 212704845014 is an apocalyptic number.

12704845014 is an abundant number, since it is smaller than the sum of its proper divisors (14825315826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12704845014 is a wasteful number, since it uses less digits than its factorization.

12704845014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76844 (or 76841 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12704845014 in words is "twelve billion, seven hundred four million, eight hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 10667 21334 32001 64002 66169 96003 132338 192006 198507 397014 595521 1191042 705824723 1411649446 2117474169 4234948338 6352422507 12704845014