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12668548752 = 243287976033
BaseRepresentation
bin10111100110001101…
…01011011010010000
31012200220002221211100
423303012223122100
5201421122030002
65453030544400
7625636613316
oct136306533220
935626087740
1012668548752
11541107a202
122556808100
13126b8114c2
1488272a0b6
154e22ce11c
hex2f31ab690

12668548752 has 30 divisors (see below), whose sum is σ = 35454341702. Its totient is φ = 4222849536.

The previous prime is 12668548729. The next prime is 12668548771. The reversal of 12668548752 is 25784586621.

12668548752 is a `hidden beast` number, since 1 + 26 + 6 + 8 + 548 + 75 + 2 = 666.

12668548752 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 only one way, i.e., 9793873296 + 2874675456 = 98964^2 + 53616^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 43987873 + ... + 43988160.

Almost surely, 212668548752 is an apocalyptic number.

12668548752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12668548752 is an abundant number, since it is smaller than the sum of its proper divisors (22785792950).

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

12668548752 is a wasteful number, since it uses less digits than its factorization.

12668548752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87976047 (or 87976038 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 12668548752 in words is "twelve billion, six hundred sixty-eight million, five hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 87976033 175952066 263928099 351904132 527856198 703808264 791784297 1055712396 1407616528 1583568594 2111424792 3167137188 4222849584 6334274376 12668548752