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68380490178 = 232711213345011
BaseRepresentation
bin111111101011110010…
…110111100111000010
320112111112221211001100
4333223302313213002
52110020401141203
651225155115230
74640350401450
oct775362674702
9215445854040
1068380490178
1127000005400
12113045a2b16
1365a9a70610
1434498c39d0
151ba335aea3
hexfebcb79c2

68380490178 has 144 divisors (see below), whose sum is σ = 200432651328. Its totient is φ = 16394875200.

The previous prime is 68380490159. The next prime is 68380490183. The reversal of 68380490178 is 87109408386.

68380490178 is a `hidden beast` number, since 6 + 8 + 3 + 80 + 490 + 1 + 78 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25693 + ... + 370703.

It is an arithmetic number, because the mean of its divisors is an integer number (1391893412).

Almost surely, 268380490178 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68380490178, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100216325664).

68380490178 is an abundant number, since it is smaller than the sum of its proper divisors (132052161150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68380490178 is a wasteful number, since it uses less digits than its factorization.

68380490178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345061 (or 345047 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68380490178 in words is "sixty-eight billion, three hundred eighty million, four hundred ninety thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 33033 66066 99099 198198 345011 690022 1035033 2070066 2415077 3105099 3795121 4485143 4830154 6210198 7245231 7590242 8970286 11385363 13455429 14490462 21735693 22770726 26565847 26910858 31396001 34156089 40366287 41746331 43471386 49336573 53131694 62792002 68312178 79697541 80732574 83492662 94188003 98673146 125238993 148009719 159395082 188376006 239092623 250477986 282564009 292224317 296019438 345356011 375716979 444029157 478185246 542702303 565128018 584448634 690712022 751433958 876672951 888058314 1036068033 1085404606 1628106909 1753345902 2072136066 2630018853 3108204099 3256213818 3798916121 4884320727 5260037706 6216408198 7597832242 9768641454 11396748363 22793496726 34190245089 68380490178