Search a number
-
+
45761744473429 is a prime number
BaseRepresentation
bin10100110011110101111001…
…00001100000110101010101
320000000210001122122202212211
422121322330201200311111
521444230023041122204
6241154353304313421
712432114455021365
oct1231727441406525
9200023048582784
1045761744473429
11136434a0826a66
125170b23772871
131c6c410aa412a
14b42c4759a9a5
1554557be84804
hex299ebc860d55

45761744473429 has 2 divisors, whose sum is σ = 45761744473430. Its totient is φ = 45761744473428.

The previous prime is 45761744473369. The next prime is 45761744473447. The reversal of 45761744473429 is 92437444716754.

It is a happy number.

45761744473429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45756160348900 + 5584124529 = 6764330^2 + 74727^2 .

It is a cyclic number.

It is not a de Polignac number, because 45761744473429 - 223 = 45761736084821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45761744473129) 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, 22880872236714 + 22880872236715.

It is an arithmetic number, because the mean of its divisors is an integer number (22880872236715).

Almost surely, 245761744473429 is an apocalyptic number.

It is an amenable number.

45761744473429 is a deficient number, since it is larger than the sum of its proper divisors (1).

45761744473429 is an equidigital number, since it uses as much as digits as its factorization.

45761744473429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 568995840, while the sum is 67.

The spelling of 45761744473429 in words is "forty-five trillion, seven hundred sixty-one billion, seven hundred forty-four million, four hundred seventy-three thousand, four hundred twenty-nine".