Search a number
-
+
312849025889 is a prime number
BaseRepresentation
bin1001000110101110100…
…00010100101101100001
31002220111222122011122212
410203113100110231201
520111203322312024
6355415412211505
731413455562251
oct4432720245541
91086458564585
10312849025889
11110751134664
1250770609b95
1323669b501ca
14111db80b961
15821073ca0e
hex48d7414b61

312849025889 has 2 divisors, whose sum is σ = 312849025890. Its totient is φ = 312849025888.

The previous prime is 312849025873. The next prime is 312849025919. The reversal of 312849025889 is 988520948213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309580960000 + 3268065889 = 556400^2 + 57167^2 .

It is a cyclic number.

It is not a de Polignac number, because 312849025889 - 24 = 312849025873 is a prime.

It is not a weakly prime, because it can be changed into another prime (312849015889) 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, 156424512944 + 156424512945.

It is an arithmetic number, because the mean of its divisors is an integer number (156424512945).

Almost surely, 2312849025889 is an apocalyptic number.

It is an amenable number.

312849025889 is a deficient number, since it is larger than the sum of its proper divisors (1).

312849025889 is an equidigital number, since it uses as much as digits as its factorization.

312849025889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 312849025889 in words is "three hundred twelve billion, eight hundred forty-nine million, twenty-five thousand, eight hundred eighty-nine".