Search a number
-
+
26001965871137 is a prime number
BaseRepresentation
bin1011110100110000011011…
…11100000111000000100001
310102001202121201010122210002
411322120031330013000201
511402004011230334022
6131145045504345345
75322402645121604
oct572301574070041
9112052551118702
1026001965871137
11831540a956583
122abb431915255
131167c899cb799
1465c70518033b
153015866de092
hex17a60df07021

26001965871137 has 2 divisors, whose sum is σ = 26001965871138. Its totient is φ = 26001965871136.

The previous prime is 26001965871073. The next prime is 26001965871143. The reversal of 26001965871137 is 73117856910062.

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., 22072040251921 + 3929925619216 = 4698089^2 + 1982404^2 .

It is a cyclic number.

It is not a de Polignac number, because 26001965871137 - 26 = 26001965871073 is a prime.

It is a super-2 number, since 2×260019658711372 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (26001965871157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13000982935568 + 13000982935569.

It is an arithmetic number, because the mean of its divisors is an integer number (13000982935569).

Almost surely, 226001965871137 is an apocalyptic number.

It is an amenable number.

26001965871137 is a deficient number, since it is larger than the sum of its proper divisors (1).

26001965871137 is an equidigital number, since it uses as much as digits as its factorization.

26001965871137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 26001965871137 in words is "twenty-six trillion, one billion, nine hundred sixty-five million, eight hundred seventy-one thousand, one hundred thirty-seven".