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12966123348 = 2232677532009
BaseRepresentation
bin11000001001101011…
…10101011101010100
31020110122001022102200
430010311311131110
5203023311421343
65542341004500
7636212141613
oct140465653524
936418038380
1012966123348
115554047422
12261a3b3730
1312b8370349
148b006b87a
1550d4ae4d3
hex304d75754

12966123348 has 36 divisors (see below), whose sum is σ = 32823952980. Its totient is φ = 4315648896.

The previous prime is 12966123337. The next prime is 12966123349. The reversal of 12966123348 is 84332166921.

12966123348 is a `hidden beast` number, since 1 + 29 + 6 + 612 + 3 + 3 + 4 + 8 = 666.

12966123348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12836436804 + 129686544 = 113298^2 + 11388^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966123349) 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, 241633 + ... + 290376.

Almost surely, 212966123348 is an apocalyptic number.

12966123348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12966123348 is an abundant number, since it is smaller than the sum of its proper divisors (19857829632).

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

12966123348 is a wasteful number, since it uses less digits than its factorization.

12966123348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532696 (or 532691 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12966123348 in words is "twelve billion, nine hundred sixty-six million, one hundred twenty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 677 1354 2031 2708 4062 6093 8124 12186 24372 532009 1064018 1596027 2128036 3192054 4788081 6384108 9576162 19152324 360170093 720340186 1080510279 1440680372 2161020558 3241530837 4322041116 6483061674 12966123348