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whatWhat is the lower bound for aHighlyhighly composite numbers?

if $x=d(n)$ is the number of divisors in of $n$, what is the tightest lower-bound for $n$ only given $x$?

http://en.wikipedia.org/wiki/Highly_composite_number

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what is the lower bound for a Highly composite numbers

if $x=d(n)$ is the number of divisors in $n$, what is the tightest lower-bound for $n$ only given $x$?

http://en.wikipedia.org/wiki/Highly_composite_number