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85921314966 = 23217594759129
BaseRepresentation
bin101000000000101001…
…1110011100010010110
322012210000010001002200
41100001103303202112
52401431324034331
6103245515545330
76131132061354
oct1200123634226
9265700101080
1085921314966
1133491384713
121479aa5b246
138143b10b96
1442313447d4
15237d2625e6
hex14014f3896

85921314966 has 48 divisors (see below), whose sum is σ = 200454555600. Its totient is φ = 26498824704.

The previous prime is 85921314961. The next prime is 85921315019. The reversal of 85921314966 is 66941312958.

85921314966 is a `hidden beast` number, since 8 + 592 + 1 + 3 + 1 + 49 + 6 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85921314961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361511 + ... + 2397618.

It is an arithmetic number, because the mean of its divisors is an integer number (4176136575).

Almost surely, 285921314966 is an apocalyptic number.

85921314966 is an abundant number, since it is smaller than the sum of its proper divisors (114533240634).

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

85921314966 is a wasteful number, since it uses less digits than its factorization.

85921314966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759213 (or 4759210 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 85921314966 in words is "eighty-five billion, nine hundred twenty-one million, three hundred fourteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 6018 9027 18054 4759129 9518258 14277387 28554774 42832161 80905193 85664322 161810386 242715579 280788611 485431158 561577222 728146737 842365833 1456293474 1684731666 2527097499 4773406387 5054194998 9546812774 14320219161 28640438322 42960657483 85921314966