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At leading order, the fully heavy hadrons are considered as ground chromo-Coulombic bound states. We find that the chromopolarizability $\\beta_\\Omega$ of a fully heavy baryon $QQQ$ is 2.6 times the chromopolarizability $\\beta_\\psi$ of the quarkonium $\\bar{Q}Q$ with the same heavy quark flavor $Q$. This result is accurate up to the correction of the order 0.3 for $Q=b$ and provides an order-of-magnitude estimate for $Q=c$. 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