A lot of 5's ...

Number Theory Level 2

What is the remainder when \(5\times 55\times 555 \times \ldots \times \underbrace{555\ldots 55}_{5555}\) is divided by \(100\)?

Details and assumptions

There are 5555 digits in the last term of the product.

Arron Kau by Arron Kau
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