Search a number
-
+
12687454561 is a prime number
BaseRepresentation
bin10111101000011101…
…10011000101100001
31012202012200110201111
423310032303011201
5201440442021221
65454544103321
7626256404305
oct136416630541
935665613644
1012687454561
115420812441
122561004b41
131272700882
1488504bd05
154e3cb5be1
hex2f43b3161

12687454561 has 2 divisors, whose sum is σ = 12687454562. Its totient is φ = 12687454560.

The previous prime is 12687454523. The next prime is 12687454601. The reversal of 12687454561 is 16545478621.

12687454561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11164035600 + 1523418961 = 105660^2 + 39031^2 .

It is a cyclic number.

It is not a de Polignac number, because 12687454561 - 211 = 12687452513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12687454361) 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 as a sum of consecutive naturals, namely, 6343727280 + 6343727281.

It is an arithmetic number, because the mean of its divisors is an integer number (6343727281).

Almost surely, 212687454561 is an apocalyptic number.

It is an amenable number.

12687454561 is a deficient number, since it is larger than the sum of its proper divisors (1).

12687454561 is an equidigital number, since it uses as much as digits as its factorization.

12687454561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 49.

The spelling of 12687454561 in words is "twelve billion, six hundred eighty-seven million, four hundred fifty-four thousand, five hundred sixty-one".