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12768486721 = 731371276721
BaseRepresentation
bin10111110010000111…
…11010010101000001
31012221212011022221121
423321003322111001
5202122213033341
65511000552241
7631262226544
oct137103722501
935855138847
1012768486721
115462529071
122584182681
1312864329b3
14891b0285b
154eae704d1
hex2f90fa541

12768486721 has 8 divisors (see below), whose sum is σ = 13037885064. Its totient is φ = 12501642240.

The previous prime is 12768486719. The next prime is 12768486749.

12768486721 is nontrivially palindromic in base 10.

12768486721 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 4 ways, for example, as 4711449600 + 8057037121 = 68640^2 + 89761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12768486721 - 21 = 12768486719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12768486751) 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 7 ways as a sum of consecutive naturals, for example, 628360 + ... + 648361.

It is an arithmetic number, because the mean of its divisors is an integer number (1629735633).

Almost surely, 212768486721 is an apocalyptic number.

It is an amenable number.

12768486721 is a deficient number, since it is larger than the sum of its proper divisors (269398343).

12768486721 is a wasteful number, since it uses less digits than its factorization.

12768486721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276931.

The product of its digits is 1806336, while the sum is 52.

The spelling of 12768486721 in words is "twelve billion, seven hundred sixty-eight million, four hundred eighty-six thousand, seven hundred twenty-one".

Divisors: 1 73 137 10001 1276721 93200633 174910777 12768486721