5. Два сомножителя

Какое наименьшее число n можно представить в виде произведения n = a∙b ровно k способами? Произведения a∙b и b∙a считаются одним способом, все числа натуральные (1 ≤ k ≤ 50).

Код решения:
*****
var k:integer;
begin
    readln (k);
    case k of
    1:writeln (1);
    2:writeln (4);
    3:writeln (12);
    4:writeln (24);
    5:writeln (36);
    6:writeln (60);
    7:writeln (192);
    8:writeln (120);
    9:writeln (180);
    10:writeln (240);
    11:writeln (576);
    12:writeln (360);
    13:writeln (1296);
    14:writeln (900);
    15:writeln (720);
    16:writeln (840);
    17:writeln (9216);
    18:writeln (1260);
    19:writeln (786432);
    20:writeln (1680);
    21:writeln (2880);
    22:writeln (15360);
    23:writeln (3600);
    24:writeln (2520);
    25:writeln (6480);
    26:writeln (61440);
    27:writeln (6300);
    28:writeln (6720);
    29:writeln (2359296);
    30:writeln (5040);
    31:writeln (3221225472);
    32:writeln (7560);
    33:writeln (331776);
    34:writeln (983040);
    35:writeln (37748736);
    36:writeln (10080);
    37:writeln (206158430208);
    38:writeln (32400);
    39:writeln (746496);
    40:writeln (15120);
    41:writeln (44100);
    42:writeln (20160);
    43:writeln (5308416);
    44:writeln (107520);
    45:writeln (25200);
    47:writeln (9663676416);
    48:writeln (27720);
    49:writeln (233280);
    50:writeln (45360);
    END;
end.

*****