Search a number
-
+
26765466456761 is a prime number
BaseRepresentation
bin1100001010111110100100…
…00111101101001010111001
310111202202100101012000222122
412011133102013231022321
512002011133403104021
6132531515135531025
75431512132042044
oct605372207551271
9114682311160878
1026765466456761
11858a197049aaa
1230033b0689a75
1311c1c84c08936
14687653c09c5b
153163704bebab
hex1857d21ed2b9

26765466456761 has 2 divisors, whose sum is σ = 26765466456762. Its totient is φ = 26765466456760.

The previous prime is 26765466456749. The next prime is 26765466456767. The reversal of 26765466456761 is 16765466456762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26644540567225 + 120925889536 = 5161835^2 + 347744^2 .

It is a cyclic number.

It is not a de Polignac number, because 26765466456761 - 218 = 26765466194617 is a prime.

It is a super-2 number, since 2×267654664567612 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (26765466456767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13382733228380 + 13382733228381.

It is an arithmetic number, because the mean of its divisors is an integer number (13382733228381).

Almost surely, 226765466456761 is an apocalyptic number.

It is an amenable number.

26765466456761 is a deficient number, since it is larger than the sum of its proper divisors (1).

26765466456761 is an equidigital number, since it uses as much as digits as its factorization.

26765466456761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1828915200, while the sum is 71.

Subtracting from 26765466456761 its reverse (16765466456762), we obtain a palindrome (9999999999999).

The spelling of 26765466456761 in words is "twenty-six trillion, seven hundred sixty-five billion, four hundred sixty-six million, four hundred fifty-six thousand, seven hundred sixty-one".