368 Jean-Marie De Koninck
5 209 105 541 772
the sixth number which is not the square of a prime number, but which can be
written as the sum of the squares of some of its prime factors: indeed,
5 209 105 541 772 =
22
· 3 · 11 · 17291 · 2282281 =
32
+
112
+
172912
+
22822812
(see the number 870).
5 737 850 066 077
the median value of the fourth prime factor of an integer (see the number 37);
this value was obtained by David Gr´ egoire using an algorithm programmed in
C language.
5 832 742 205 057
the
19th
Bell number (see the number 52).
6 722 988 818 432
the largest number n whose sum of digits is equal to
7

n (see the number
612 220 032).
6 963 472 309 248
the smallest number which can be written as the sum of two cubes in four
distinct ways:
6 963 472 309 248 =
24213
+
190833
=
54363
+
189483
=
102003
+
180723
=
133223
+
166303
(E. Rosenstiel, J.A. Dardis & C.R. Rosenstiel [177]); see the number 1 729.
7 432 339 208 719
the smallest prime factor of the Mersenne number 2101 1, whose complete
factorization is given by
2101
1 = 7 432 339 208 719 · 341 117 531 003 194 129.
8 192 480 787 000
the 19th powerful number n such that n + 1 is also powerful: here
8 192 480 787 000 =
23
·
32
·
53
·
433
·
1072
and 8 192 480 787 001 =
72
·
412
·
99732
(see the number 288).
8 992 165 119 733
an 18-hyperperfect number, possibly the fifth one (see the number 1 333).
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