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18578516348369 is a prime number
BaseRepresentation
bin1000011100101101001011…
…10111100000110111010001
32102210002101202012010111202
410032112211313200313101
54413342300141121434
6103302504054120545
73625152645236645
oct416264567406721
972702352163452
1018578516348369
115a1311715735a
122100783650155
13a49c3c815283
144832c26c0c25
1522340aadea7e
hex10e5a5de0dd1

18578516348369 has 2 divisors, whose sum is σ = 18578516348370. Its totient is φ = 18578516348368.

The previous prime is 18578516348339. The next prime is 18578516348383. The reversal of 18578516348369 is 96384361587581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13326237862144 + 5252278486225 = 3650512^2 + 2291785^2 .

It is a cyclic number.

It is not a de Polignac number, because 18578516348369 - 212 = 18578516344273 is a prime.

It is a super-2 number, since 2×185785163483692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18578516348296 and 18578516348305.

It is not a weakly prime, because it can be changed into another prime (18578516348339) 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, 9289258174184 + 9289258174185.

It is an arithmetic number, because the mean of its divisors is an integer number (9289258174185).

Almost surely, 218578516348369 is an apocalyptic number.

It is an amenable number.

18578516348369 is a deficient number, since it is larger than the sum of its proper divisors (1).

18578516348369 is an equidigital number, since it uses as much as digits as its factorization.

18578516348369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1045094400, while the sum is 74.

The spelling of 18578516348369 in words is "eighteen trillion, five hundred seventy-eight billion, five hundred sixteen million, three hundred forty-eight thousand, three hundred sixty-nine".