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449226408641 is a prime number
BaseRepresentation
bin1101000100101111111…
…10110000001011000001
31120221112100202000202212
412202113332300023001
524330003430034031
6542212144551505
744312151320243
oct6422776601301
91527470660685
10449226408641
1116357466184a
1273091022595
13334920435aa
1417a57c80093
15ba433d112b
hex6897fb02c1

449226408641 has 2 divisors, whose sum is σ = 449226408642. Its totient is φ = 449226408640.

The previous prime is 449226408613. The next prime is 449226408649. The reversal of 449226408641 is 146804622944.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282003481600 + 167222927041 = 531040^2 + 408929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-449226408641 is a prime.

It is a super-3 number, since 3×4492264086413 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 449226408641.

It is not a weakly prime, because it can be changed into another prime (449226408649) 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, 224613204320 + 224613204321.

It is an arithmetic number, because the mean of its divisors is an integer number (224613204321).

Almost surely, 2449226408641 is an apocalyptic number.

It is an amenable number.

449226408641 is a deficient number, since it is larger than the sum of its proper divisors (1).

449226408641 is an equidigital number, since it uses as much as digits as its factorization.

449226408641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 449226408641 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred eight thousand, six hundred forty-one".