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12888379729 = 107210612
BaseRepresentation
bin11000000000011010…
…10001000101010001
31020021012202112020101
430000031101011101
5202343411122404
65530522412401
7634246264051
oct140015210521
936235675211
1012888379729
1155141774a5
1225b8361101
1312a521ccc4
148a39d1561
155067542a4
hex300351151

12888379729 has 9 divisors (see below), whose sum is σ = 13022231131. Its totient is φ = 12755893720.

The previous prime is 12888379709. The next prime is 12888379769. The reversal of 12888379729 is 92797388821.

The square root of 12888379729 is 113527.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8487384129 + 4400995600 = 92127^2 + 66340^2 .

It is not a de Polignac number, because 12888379729 - 217 = 12888248657 is a prime.

It is a super-2 number, since 2×128883797292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12888379709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12146859 + ... + 12147919.

Almost surely, 212888379729 is an apocalyptic number.

12888379729 is the 113527-th square number.

12888379729 is the 56764-th centered octagonal number.

It is an amenable number.

12888379729 is a deficient number, since it is larger than the sum of its proper divisors (133851402).

12888379729 is an frugal number, since it uses more digits than its factorization.

12888379729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1168 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 64.

Multiplying 12888379729 by its sum of digits (64), we get a square (824856302656 = 9082162).

The spelling of 12888379729 in words is "twelve billion, eight hundred eighty-eight million, three hundred seventy-nine thousand, seven hundred twenty-nine".

Divisors: 1 107 1061 11449 113527 1125721 12147389 120452147 12888379729