Search a number
-
+
25781662368029 is a prime number
BaseRepresentation
bin1011101110010110000101…
…10100111100000100011101
310101021200222101020011001002
411313023002310330010131
511334401321031234104
6130455533204000045
75300443425211151
oct567130264740435
9111250871204032
1025781662368029
11823aa3a309a47
122a847aa690025
13115027b17b559
14651ba6771061
152ea990a4c01e
hex1772c2d3c11d

25781662368029 has 2 divisors, whose sum is σ = 25781662368030. Its totient is φ = 25781662368028.

The previous prime is 25781662367999. The next prime is 25781662368037. The reversal of 25781662368029 is 92086326618752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16585272540004 + 9196389828025 = 4072502^2 + 3032555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-25781662368029 is a prime.

It is a super-2 number, since 2×257816623680292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25781662368929) 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, 12890831184014 + 12890831184015.

It is an arithmetic number, because the mean of its divisors is an integer number (12890831184015).

Almost surely, 225781662368029 is an apocalyptic number.

It is an amenable number.

25781662368029 is a deficient number, since it is larger than the sum of its proper divisors (1).

25781662368029 is an equidigital number, since it uses as much as digits as its factorization.

25781662368029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 25781662368029 in words is "twenty-five trillion, seven hundred eighty-one billion, six hundred sixty-two million, three hundred sixty-eight thousand, twenty-nine".