Numbers that have a record number of infinitary divisors that are powerful (A001694).

Terms

a(0) =1a(1) =4a(2) =8a(3) =36a(4) =72a(5) =128a(6) =216a(7) =1152a(8) =3456a(9) =27000a(10) =28800a(11) =86400a(12) =279936a(13) =432000a(14) =4233600a(15) =6998400a(16) =21168000a(17) =34992000a(18) =148176000a(19) =342921600a(20) =1714608000a(21) =8957952000a(22) =12002256000a(23) =197222256000a(24) =207467568000a(25) =438939648000