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All operations (multiplication, exponentiation, factorials, etc...) can be used including such functions as the busy beaver.

jgon
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    Honestly, I think this question is too broad. If you're going to ask a similar question, give a definition of characters and operations. – jgon Jan 04 '18 at 08:02
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    What are "all operations"? Give a complete list of operators and functions that can be used. – nog642 Jan 04 '18 at 08:03
  • Also separtely, why seven? What have you tried? This question is missing all context. – jgon Jan 04 '18 at 08:04
  • Do you know what knuth’s up arrow is? But in the end what would it really matter because even with the up arrow notation you are just disguising a bunch of operations and characters as one – Prince M Jan 04 '18 at 08:06
  • A good candidate for the largest number is $$\large \Sigma(\Sigma(9))$$ – Peter Jan 04 '18 at 13:02

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If the brackets are counted as characters, then I think that this number should be the largest $9^{9^{9^{9^{9^{9}}}}}!$