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68456807055 = 325721319125693
BaseRepresentation
bin111111110000010101…
…111111101010001111
320112200212120010010100
4333300111333222033
52110144420311210
651240522542143
74642265154600
oct776025775217
9215625503110
1068456807055
112703a0a03aa
1211326067953
1365bc811430
143455aabda7
151ba9dd35c0
hexff057fa8f

68456807055 has 144 divisors (see below), whose sum is σ = 156473946720. Its totient is φ = 27366667776.

The previous prime is 68456807047. The next prime is 68456807071. The reversal of 68456807055 is 55070865486.

68456807055 is a `hidden beast` number, since 6 + 8 + 4 + 568 + 0 + 70 + 5 + 5 = 666.

It is not a de Polignac number, because 68456807055 - 23 = 68456807047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68456806992 and 68456807010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 481789 + ... + 607481.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624630).

Almost surely, 268456807055 is an apocalyptic number.

68456807055 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

68456807055 is an abundant number, since it is smaller than the sum of its proper divisors (88017139665).

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

68456807055 is a wasteful number, since it uses less digits than its factorization.

68456807055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125750 (or 125740 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 68456807055 in words is "sixty-eight billion, four hundred fifty-six million, eight hundred seven thousand, fifty-five".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 49 57 63 65 91 95 105 117 133 147 171 195 245 247 273 285 315 399 441 455 585 637 665 735 741 819 855 931 1197 1235 1365 1729 1911 1995 2205 2223 2793 3185 3705 4095 4655 5187 5733 5985 8379 8645 9555 11115 12103 13965 15561 25935 28665 36309 41895 60515 77805 108927 125693 181545 377079 544635 628465 879851 1131237 1634009 1885395 2388167 2639553 4399255 4902027 5656185 6158957 7164501 7918659 8170045 11438063 11940835 13197765 14706081 16717169 18476871 21493503 24510135 30794785 31046171 34314189 35822505 39593295 50151507 55430613 57190315 73530405 80066441 83585845 92384355 93138513 102942567 107467515 117020183 150454521 155230855 171570945 217323197 240199323 250757535 277153065 279415539 351060549 400332205 465692565 514712835 585100915 651969591 720597969 752272605 1053181647 1086615985 1200996615 1397077695 1521262379 1755302745 1955908773 3259847955 3602989845 4563787137 5265908235 7606311895 9779543865 13691361411 22818935685 68456807055