Search a number
-
+
265938027401 is a prime number
BaseRepresentation
bin1111011110101100100…
…1000100001110001001
3221102102200022112111102
43313223021010032021
513324120113334101
6322100434511145
725133122635644
oct3675311041611
9842380275442
10265938027401
11a28690a1122
124365a1354b5
131c102057337
14cc2b450a5b
156db716c86b
hex3deb244389

265938027401 has 2 divisors, whose sum is σ = 265938027402. Its totient is φ = 265938027400.

The previous prime is 265938027353. The next prime is 265938027419. The reversal of 265938027401 is 104720839562.

265938027401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172142839801 + 93795187600 = 414901^2 + 306260^2 .

It is a cyclic number.

It is not a de Polignac number, because 265938027401 - 222 = 265933833097 is a prime.

It is not a weakly prime, because it can be changed into another prime (265938027451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132969013700 + 132969013701.

It is an arithmetic number, because the mean of its divisors is an integer number (132969013701).

It is a 1-persistent number, because it is pandigital, but 2⋅265938027401 = 531876054802 is not.

Almost surely, 2265938027401 is an apocalyptic number.

It is an amenable number.

265938027401 is a deficient number, since it is larger than the sum of its proper divisors (1).

265938027401 is an equidigital number, since it uses as much as digits as its factorization.

265938027401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 265938027401 in words is "two hundred sixty-five billion, nine hundred thirty-eight million, twenty-seven thousand, four hundred one".