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127145682593 is a prime number
BaseRepresentation
bin111011001101001111…
…0010010011010100001
3110011012000000220020022
41312122132102122201
54040343243320333
6134224313123225
712120534320156
oct1663236223241
9404160026208
10127145682593
1149a16472226
12207849b9515
13bcb373a017
14622238622d
153492499c98
hex1d9a7926a1

127145682593 has 2 divisors, whose sum is σ = 127145682594. Its totient is φ = 127145682592.

The previous prime is 127145682581. The next prime is 127145682647. The reversal of 127145682593 is 395286541721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117396687424 + 9748995169 = 342632^2 + 98737^2 .

It is a cyclic number.

It is not a de Polignac number, because 127145682593 - 26 = 127145682529 is a prime.

It is not a weakly prime, because it can be changed into another prime (127145682523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63572841296 + 63572841297.

It is an arithmetic number, because the mean of its divisors is an integer number (63572841297).

Almost surely, 2127145682593 is an apocalyptic number.

It is an amenable number.

127145682593 is a deficient number, since it is larger than the sum of its proper divisors (1).

127145682593 is an equidigital number, since it uses as much as digits as its factorization.

127145682593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 53.

The spelling of 127145682593 in words is "one hundred twenty-seven billion, one hundred forty-five million, six hundred eighty-two thousand, five hundred ninety-three".