Search a number
-
+
17995233646057 is a prime number
BaseRepresentation
bin1000001011101110101111…
…00000100101010111101001
32100201022211202212210021011
410011313113200211113221
54324313214303133212
6102134521325343521
73535053444126103
oct405672740452751
970638752783234
1017995233646057
115808810292a68
12202771b407ba1
13a06c354287b5
14462d8c76a573
1521316d7054a7
hex105dd78255e9

17995233646057 has 2 divisors, whose sum is σ = 17995233646058. Its totient is φ = 17995233646056.

The previous prime is 17995233645989. The next prime is 17995233646111. The reversal of 17995233646057 is 75064633259971.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9751105400976 + 8244128245081 = 3122676^2 + 2871259^2 .

It is an emirp because it is prime and its reverse (75064633259971) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17995233646057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17995233645983 and 17995233646001.

It is not a weakly prime, because it can be changed into another prime (17995233646157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8997616823028 + 8997616823029.

It is an arithmetic number, because the mean of its divisors is an integer number (8997616823029).

Almost surely, 217995233646057 is an apocalyptic number.

It is an amenable number.

17995233646057 is a deficient number, since it is larger than the sum of its proper divisors (1).

17995233646057 is an equidigital number, since it uses as much as digits as its factorization.

17995233646057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 257191200, while the sum is 67.

The spelling of 17995233646057 in words is "seventeen trillion, nine hundred ninety-five billion, two hundred thirty-three million, six hundred forty-six thousand, fifty-seven".