| Base | Representation |
|---|---|
| bin | 100111111001111010… |
| … | …0010011011000000000 |
| 3 | 22012012020011122210200 |
| 4 | 1033303310103120000 |
| 5 | 2401000401443320 |
| 6 | 103211232125200 |
| 7 | 6122413040001 |
| oct | 1176364233000 |
| 9 | 265166148720 |
| 10 | 85694952960 |
| 11 | 33385626581 |
| 12 | 14737096800 |
| 13 | 8108c56776 |
| 14 | 420d25d1a8 |
| 15 | 236844c290 |
| hex | 13f3d13600 |
85694952960 has 720 divisors, whose sum is σ = 317707790400. Its totient is φ = 21339242496.
The previous prime is 85694952913. The next prime is 85694953061. The reversal of 85694952960 is 6925949658.
85694952960 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 49 + 529 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×856949529603 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 962864596 + ... + 962864684.
It is an arithmetic number, because the mean of its divisors is an integer number (441260820).
Almost surely, 285694952960 is an apocalyptic number.
85694952960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85694952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158853895200).
85694952960 is an abundant number, since it is smaller than the sum of its proper divisors (232012837440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85694952960 is a wasteful number, since it uses less digits than its factorization.
85694952960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 243 (or 201 counting only the distinct ones).
The product of its (nonzero) digits is 41990400, while the sum is 63.
It can be divided in two parts, 856949 and 52960, that added together give a palindrome (909909).
The spelling of 85694952960 in words is "eighty-five billion, six hundred ninety-four million, nine hundred fifty-two thousand, nine hundred sixty".
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