The Cosmologist's Clock

It is the much too distant future. The universe has expanded and contracted a great many times. In 2015, a great physicist and inventor created a magnificently sturdy clock that could record the age of the universe for what seemed an eternity and even maintain its functions inside a singularity. However, when the heat death of the observable universe came in our period, the clock began to suffer an error. Every century, the clock would reset to zero and record again. If \(2015^{2016^{2017}}\) years have passed since it began to malfunction, what is the number shown on the clock?

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