Search a number
-
+
648824831041 is a prime number
BaseRepresentation
bin10010111000100001111…
…10010011110001000001
32022000201201101110100211
421130100332103301001
541112243124043131
61214022131514121
764606325032132
oct11342076236101
92260651343324
10648824831041
1123018a77a832
12a58b6158941
13492510bb08a
14235908a9c89
1511d2647e5b1
hex9710f93c41

648824831041 has 2 divisors, whose sum is σ = 648824831042. Its totient is φ = 648824831040.

The previous prime is 648824830981. The next prime is 648824831051. The reversal of 648824831041 is 140138428846.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433616982016 + 215207849025 = 658496^2 + 463905^2 .

It is a cyclic number.

It is not a de Polignac number, because 648824831041 - 233 = 640234896449 is a prime.

It is a super-2 number, since 2×6488248310412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (648824831051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 324412415520 + 324412415521.

It is an arithmetic number, because the mean of its divisors is an integer number (324412415521).

Almost surely, 2648824831041 is an apocalyptic number.

It is an amenable number.

648824831041 is a deficient number, since it is larger than the sum of its proper divisors (1).

648824831041 is an equidigital number, since it uses as much as digits as its factorization.

648824831041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 648824831041 in words is "six hundred forty-eight billion, eight hundred twenty-four million, eight hundred thirty-one thousand, forty-one".