Search a number
-
+
45405432161 is a prime number
BaseRepresentation
bin101010010010010111…
…111110100101100001
311100012101022221102122
4222102113332211201
51220442242312121
632505311554025
73165121543145
oct522227764541
9140171287378
1045405432161
1118290201251
12897222b915
134387c0512b
1422aa449225
1512ab3265ab
hexa925fe961

45405432161 has 2 divisors, whose sum is σ = 45405432162. Its totient is φ = 45405432160.

The previous prime is 45405432103. The next prime is 45405432173. The reversal of 45405432161 is 16123450454.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45396694225 + 8737936 = 213065^2 + 2956^2 .

It is a cyclic number.

It is not a de Polignac number, because 45405432161 - 214 = 45405415777 is a prime.

It is not a weakly prime, because it can be changed into another prime (45405432461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22702716080 + 22702716081.

It is an arithmetic number, because the mean of its divisors is an integer number (22702716081).

Almost surely, 245405432161 is an apocalyptic number.

It is an amenable number.

45405432161 is a deficient number, since it is larger than the sum of its proper divisors (1).

45405432161 is an equidigital number, since it uses as much as digits as its factorization.

45405432161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 45405432161 in words is "forty-five billion, four hundred five million, four hundred thirty-two thousand, one hundred sixty-one".