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More than the total number ever built by several orders of magnitude at the yields they were actually built at. However only a small fraction of those existing at the peak of the arms race could have made the surface of the earth uninhabitable, except by microorganisms, insects, etc.

If a fusion bomb was built with enough stages to get a yield many orders of magnitude higher than the total yield of all nuclear weapons ever built, one could blow up the earth but such a bomb would have no military value.

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12y ago

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