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an Entity in Data Space: dbkwik.org

65536 is a positive integer equal to \(2^{16} = 2^{2^{2^{2}}} = 2 \uparrow\uparrow 4 = 2 \uparrow\uparrow\uparrow 3\). It is the largest power tower of 2's that can be expressed in a compact digital form (as \(2 \uparrow\uparrow 5\) is an integer of 19729 decimal digits). It is also the only nontrivial result of pentation expressible in compact digital form — \(^52\) has 19729 decimal digits, and \(^62\) has well over a googol decimal digits. It is found commonly in computer science, being the number of different values expressible in 16 bits (a short integer).

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