Number Theory Question #1

So here is a cheeky question with regards to cryptography, its the basis of public key encryption in Cryptography. I had a student asked about cryptography once, its a really interesting and exciting field. Many students who watched the Imitation Game, should be greatly intrigued by it. 🙂 So here is the question

What is the remainder of \frac{70!}{5183}

You might need to use chinese remainder theorem here or modulo. But definitely not a calculator 🙂

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