Search a number
-
+
4082814667273 is a prime number
BaseRepresentation
bin111011011010011010101…
…101111100101000001001
3112110022110101002200120011
4323122122231330220021
51013343101023323043
612403341423431521
7600654645031546
oct73323255745011
915408411080504
104082814667273
11133456a493951
1255b33a4555a1
132380140c4834
14101875c39bcd
157130b60e59d
hex3b69ab7ca09

4082814667273 has 2 divisors, whose sum is σ = 4082814667274. Its totient is φ = 4082814667272.

The previous prime is 4082814667241. The next prime is 4082814667277. The reversal of 4082814667273 is 3727664182804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2796831451129 + 1285983216144 = 1672373^2 + 1134012^2 .

It is a cyclic number.

It is not a de Polignac number, because 4082814667273 - 25 = 4082814667241 is a prime.

It is not a weakly prime, because it can be changed into another prime (4082814667277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2041407333636 + 2041407333637.

It is an arithmetic number, because the mean of its divisors is an integer number (2041407333637).

Almost surely, 24082814667273 is an apocalyptic number.

It is an amenable number.

4082814667273 is a deficient number, since it is larger than the sum of its proper divisors (1).

4082814667273 is an equidigital number, since it uses as much as digits as its factorization.

4082814667273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 4082814667273 in words is "four trillion, eighty-two billion, eight hundred fourteen million, six hundred sixty-seven thousand, two hundred seventy-three".