Those Fascinating Numbers 371
12122735157, 13619369127, 15714656685, 17510617449, 20204558595,
22698948545, 28286382033, 29184362415, 32638133115, 40858107381,
47143970055, 52531852347, 60613675785, 68096845635, 84859146099,
87553087245, 122574322143, 141431910165, 157595557041, 204290536905,
254577438297, 262659261735, 367722966429, 424295730495, 612871610715,
787977785205, 1103168899287, 1272887191485, 1838614832145, 3309506697861,
5515844496435 and 16547533489305.
20 047 612 231 936 (=
468)
the smallest number n 1 whose sum of digits is equal to
8

n: the only other
numbers n 1 satisfying this property are 72 301 961 339 136 and
248 155 780 267 521.
21 348 015 504 200 (=
23
·
52
·
72
·
112
·
42432)
the 10 000 000th powerful number (see the number 3 136).
21 467 102 506 955
the sixth number which can be written as the sum of the cubes of its prime
factors:
21 467 102 506 955 = 5 ·
73
· 313 · 1439 · 27791 =
53
+
73
+
3133
+
14393
+
277913
(see the number 378).
26 639 628 671 867
the number of 15 digit prime numbers.
28 116 440 335 967
the smallest narcissistic prime number with more than one digit (see the num-
ber 153); the other two narcissistic primes with more than one digit are:
449 177 399 146 038 697 307 and 35 452 590 104 031 691 935 943.
28 821 995 554 247
the 23rd powerful number n such that n + 1 is also powerful: here
28821995554247 =
72
·
172
·
233
·
4092
and 28821995554248 =
23
·
34
·
132
·
162232
(see the number 288).
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