Search a number
-
+
45083044300277 is a prime number
BaseRepresentation
bin10100100000000101101101…
…10101110100010111110101
312220121220012212112200121202
422100002312311310113311
521402120033320102102
6235514510432222245
712332066602521404
oct1220026665642765
9186556185480552
1045083044300277
1113401680216555
12508149039a985
131c2040b3b9039
14b1c06105563b
15532aa7d01e02
hex2900b6d745f5

45083044300277 has 2 divisors, whose sum is σ = 45083044300278. Its totient is φ = 45083044300276.

The previous prime is 45083044300267. The next prime is 45083044300291. The reversal of 45083044300277 is 77200344038054.

45083044300277 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45033642125521 + 49402174756 = 6710711^2 + 222266^2 .

It is a cyclic number.

It is not a de Polignac number, because 45083044300277 - 222 = 45083040105973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45083044300267) 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, 22541522150138 + 22541522150139.

It is an arithmetic number, because the mean of its divisors is an integer number (22541522150139).

Almost surely, 245083044300277 is an apocalyptic number.

It is an amenable number.

45083044300277 is a deficient number, since it is larger than the sum of its proper divisors (1).

45083044300277 is an equidigital number, since it uses as much as digits as its factorization.

45083044300277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 45083044300277 in words is "forty-five trillion, eighty-three billion, forty-four million, three hundred thousand, two hundred seventy-seven".