Search a number
-
+
448484444017 is a prime number
BaseRepresentation
bin1101000011010111100…
…00011000011101110001
31120212121122121022122121
412201223300120131301
524321444004202032
6542010402034241
744254601606131
oct6415360303561
91525548538577
10448484444017
1116322385a845
1272b04648981
13333a440037c
14179c7500ac1
15b9ed1bea97
hex686bc18771

448484444017 has 2 divisors, whose sum is σ = 448484444018. Its totient is φ = 448484444016.

The previous prime is 448484444003. The next prime is 448484444021. The reversal of 448484444017 is 710444484844.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446599494961 + 1884949056 = 668281^2 + 43416^2 .

It is a cyclic number.

It is not a de Polignac number, because 448484444017 - 27 = 448484443889 is a prime.

It is a super-2 number, since 2×4484844440172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (448484444077) 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, 224242222008 + 224242222009.

It is an arithmetic number, because the mean of its divisors is an integer number (224242222009).

Almost surely, 2448484444017 is an apocalyptic number.

It is an amenable number.

448484444017 is a deficient number, since it is larger than the sum of its proper divisors (1).

448484444017 is an equidigital number, since it uses as much as digits as its factorization.

448484444017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7340032, while the sum is 52.

The spelling of 448484444017 in words is "four hundred forty-eight billion, four hundred eighty-four million, four hundred forty-four thousand, seventeen".