Search a number
-
+
279689414401 is a prime number
BaseRepresentation
bin1000001000111101100…
…10011100011100000001
3222201221000222101011001
410010132302130130001
514040300442230101
6332253150452001
726130651540145
oct4043662343401
9881830871131
10279689414401
11a8685423771
1246257504001
13204b3cbac17
14d7738cd225
15741e542901
hex411ec9c701

279689414401 has 2 divisors, whose sum is σ = 279689414402. Its totient is φ = 279689414400.

The previous prime is 279689414371. The next prime is 279689414413. The reversal of 279689414401 is 104414986972.

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., 247008006001 + 32681408400 = 496999^2 + 180780^2 .

It is a cyclic number.

It is not a de Polignac number, because 279689414401 - 215 = 279689381633 is a prime.

It is not a weakly prime, because it can be changed into another prime (279689414461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 139844707200 + 139844707201.

It is an arithmetic number, because the mean of its divisors is an integer number (139844707201).

Almost surely, 2279689414401 is an apocalyptic number.

It is an amenable number.

279689414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

279689414401 is an equidigital number, since it uses as much as digits as its factorization.

279689414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 279689414401 in words is "two hundred seventy-nine billion, six hundred eighty-nine million, four hundred fourteen thousand, four hundred one".