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Gold weighs 1/50th of a stone (50 gold = 1 stone). Since the maximum weight a human can carry in his/her backpack is 550 stone, then the most gold a human could actually place into her/his backpack would be (50 x 550) 27,500 gold.
So (outside of an unknown exploit) I'm going to have go with stack hopping from the bank to the shrine.
I've had well over 2,500 stone in my backpack when I cut up 500 cloth bolts with scissors (the bolts were in my bankbox but the cloth ended up in my backpack after I cut them), but I couldn't move until I moved the cloth out of my backpack.
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Yup. There is a big difference between being able to "carry" an item, and having it in your pack. With max str and spirit of the totem, my char can walk around with ore piles for example, that exceed the weight limit for her pack, so I am basically running around with this big ore pile stuck to the cursor, and if I slip, it ends up at the starting place again, one of UO's charming annoyances. And you can "leap-frog" anything - container or resource pile pretty much, regardless of its weight, as long as you don't actually try to take a step with it. I have leap-frogged resource containers that weighed 50,000 stone before, a tile at a time, when rearranging my house. *flexes muscles*
-Skylark