In the bitcoin ecosystem, the network has a global block difficulty which is a measure of

how difficult it is to find a hash value below a given target. Given below is the header info of the

the bitcoin blockchain with height $=501509.$ Prove that the difficulty is indeed

$1873105475221\mathrm{.}611.$ Hint: The genesis block's target is $(0$x$00$ffff $*25626$

$ bitcoin$-$cli getblockheader

$0000000000000000006$c$5532$f$4$fd$9$ee$03$e$07$f$94$df$165$c$556$b$89$c$495$e$97680147$

$\{$

$...$

"height": $501509,$

$...$

"bits": $"18009645",$

"difficulty": $1873105475221\mathrm{.}611,$

$...$

$\}$