Search a number
-
+
41636645441353 is a prime number
BaseRepresentation
bin10010111011110010010010…
…11101100000111101001001
312110102102110102001210102101
421131321021131200331021
520424133322213110403
6224315335540033401
711525101613544154
oct1135711135407511
9173372412053371
1041636645441353
11122a3002982a86
124805564392861
131a3041b59a6c1
14a3d31da34c9b
154c30e855971d
hex25de49760f49

41636645441353 has 2 divisors, whose sum is σ = 41636645441354. Its totient is φ = 41636645441352.

The previous prime is 41636645441351. The next prime is 41636645441381. The reversal of 41636645441353 is 35314454663614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21643969726864 + 19992675714489 = 4652308^2 + 4471317^2 .

It is a cyclic number.

It is not a de Polignac number, because 41636645441353 - 21 = 41636645441351 is a prime.

It is a super-2 number, since 2×416366454413532 (a number of 28 digits) contains 22 as substring.

Together with 41636645441351, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 41636645441294 and 41636645441303.

It is not a weakly prime, because it can be changed into another prime (41636645441351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20818322720676 + 20818322720677.

It is an arithmetic number, because the mean of its divisors is an integer number (20818322720677).

Almost surely, 241636645441353 is an apocalyptic number.

It is an amenable number.

41636645441353 is a deficient number, since it is larger than the sum of its proper divisors (1).

41636645441353 is an equidigital number, since it uses as much as digits as its factorization.

41636645441353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37324800, while the sum is 55.

The spelling of 41636645441353 in words is "forty-one trillion, six hundred thirty-six billion, six hundred forty-five million, four hundred forty-one thousand, three hundred fifty-three".