In June $2009,$ an eBay auction for lunch with Warren Buffett raised $$1\mathrm{.}7$ million for the Glide Foundation of San Francisco. In $2009,$ Warren Buffett, an American investor and the second richest man in the world, had an estimated net worth of $$37$ billion. How long does it take $$37$ billion invested at an effective rate of $5\mathrm{.}1\%$ to earn $$1\mathrm{.}7$ million? $($Use $365$ days in a year. Round your answer to two decimal places.$)$