Help in solving the qs

Please help me in solving the following question A 37 digit number k is comprised of 37 nines. Find the sum of the digits of the number k2 :?:

correction in above question

sorry for the typo .. the qs is A 37 digit number [size=14]k [/size]is comprised of 37 nines. Find the sum of the digits of the number [size=14]k[/size][size=18]2[/size]( read as k square)

When K=9 K² = 81 Sum=1*9=99 K=99 K² = 9801 Sum=2*9=18 K=999 K² = 998001 Sum=3*9=27 When K=9999…37 terms Sum=37*9=333 is it ok?