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45456768193 is a prime number
BaseRepresentation
bin101010010101011011…
…110011110011000001
311100022221221002020011
4222111123303303001
51221043413040233
632514344144521
73166314103654
oct522533636301
9140287832204
1045456768193
1118307184821
128987468141
13439573a695
1422b31ad89b
1512b0ab70cd
hexa956f3cc1

45456768193 has 2 divisors, whose sum is σ = 45456768194. Its totient is φ = 45456768192.

The previous prime is 45456768187. The next prime is 45456768251. The reversal of 45456768193 is 39186765454.

It is an a-pointer prime, because the next prime (45456768251) can be obtained adding 45456768193 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31354493184 + 14102275009 = 177072^2 + 118753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45456768193 is a prime.

It is not a weakly prime, because it can be changed into another prime (45456768793) 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, 22728384096 + 22728384097.

It is an arithmetic number, because the mean of its divisors is an integer number (22728384097).

Almost surely, 245456768193 is an apocalyptic number.

It is an amenable number.

45456768193 is a deficient number, since it is larger than the sum of its proper divisors (1).

45456768193 is an equidigital number, since it uses as much as digits as its factorization.

45456768193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21772800, while the sum is 58.

The spelling of 45456768193 in words is "forty-five billion, four hundred fifty-six million, seven hundred sixty-eight thousand, one hundred ninety-three".