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print unpack( "b64", pack( "Q",   4_294_967_295)), "\n";
print unpack( "b64", pack( "Q", 126_294_967_295)), "\n";
...
Result:
1111111111111111111111111111111100000000000000000000000000000000
1111111111000010001000111110011010111000000000000000000000000000