Search a number
-
+
879465033217 is a prime number
BaseRepresentation
bin11001100110001000011…
…00110110111000000001
310010002001102121200112001
430303010030312320001
5103402121022030332
61512004243504001
7120352651303501
oct14630414667001
93102042550461
10879465033217
11309a850a1371
12122543088001
1364c193057a4
14307d0045a01
1517d2483c0e7
hexccc4336e01

879465033217 has 2 divisors, whose sum is σ = 879465033218. Its totient is φ = 879465033216.

The previous prime is 879465033203. The next prime is 879465033241. The reversal of 879465033217 is 712330564978.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 686286323776 + 193178709441 = 828424^2 + 439521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-879465033217 is a prime.

It is not a weakly prime, because it can be changed into another prime (879465033277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 439732516608 + 439732516609.

It is an arithmetic number, because the mean of its divisors is an integer number (439732516609).

It is a 1-persistent number, because it is pandigital, but 2⋅879465033217 = 1758930066434 is not.

Almost surely, 2879465033217 is an apocalyptic number.

It is an amenable number.

879465033217 is a deficient number, since it is larger than the sum of its proper divisors (1).

879465033217 is an equidigital number, since it uses as much as digits as its factorization.

879465033217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 879465033217 in words is "eight hundred seventy-nine billion, four hundred sixty-five million, thirty-three thousand, two hundred seventeen".