Alphabet $($GOOGL$)$ has yet to pay a dividend, but in spring $2018$ it announced it would repurchase $$8\mathrm{.}5$ billion worth of shares over the

year. $($Actually$,$ the exact amount was $$8,589,869,056$ known as a "perfect" number because it is equal to the sum of its divisors$).$ If the

amount spent on share repurchases were expected to grow by $7\%$ per year, and Alphabet's equity cost of capital is $7\mathrm{.}6\%,$

estimate Alphabet's market capitalization. If Alphabet has $686$ million shares outstanding, what stock price does this correspond to$?$

The share price is $$,.($Round to the nearest cent.$)$