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45852325720417 is a prime number
BaseRepresentation
bin10100110110011110100111…
…00101100011000101100001
320000100102212102020212222101
422123033103211203011201
522002221030341023132
6241304133451010401
712441502242640516
oct1233172345430541
9200312772225871
1045852325720417
1113678953557567
1251865a3139a01
131c77b18157328
14b4739b75d30d
15547ace3777e7
hex29b3d3963161

45852325720417 has 2 divisors, whose sum is σ = 45852325720418. Its totient is φ = 45852325720416.

The previous prime is 45852325720403. The next prime is 45852325720441. The reversal of 45852325720417 is 71402752325854.

It is a happy number.

45852325720417 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., 33505528252816 + 12346797467601 = 5788396^2 + 3513801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45852325720417 is a prime.

It is not a weakly prime, because it can be changed into another prime (45852325790417) 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, 22926162860208 + 22926162860209.

It is an arithmetic number, because the mean of its divisors is an integer number (22926162860209).

Almost surely, 245852325720417 is an apocalyptic number.

It is an amenable number.

45852325720417 is a deficient number, since it is larger than the sum of its proper divisors (1).

45852325720417 is an equidigital number, since it uses as much as digits as its factorization.

45852325720417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816000, while the sum is 55.

The spelling of 45852325720417 in words is "forty-five trillion, eight hundred fifty-two billion, three hundred twenty-five million, seven hundred twenty thousand, four hundred seventeen".