Sublime number

Among a number of lofty or sublime number is defined as a natural number, in which the number and the sum of its divisors are perfect numbers.

Exalted figures are very rare - there are only two known lofty numbers. It is not known whether there are other lofty figures, or whether there are infinitely many lofty numbers. It is not known whether there are odd numbers raised.

Known lofty numbers

There are previously known two raised figures: