| Base | Representation |
|---|---|
| bin | 100111111110100011… |
| … | …0110100110110000000 |
| 3 | 22012121002102200200000 |
| 4 | 1033331012310312000 |
| 5 | 2401310301203314 |
| 6 | 103234520400000 |
| 7 | 6126314535000 |
| oct | 1177506646600 |
| 9 | 265532380600 |
| 10 | 85850803584 |
| 11 | 334555a4447 |
| 12 | 1477b316000 |
| 13 | 8132323680 |
| 14 | 4225c2c000 |
| 15 | 2376e85209 |
| hex | 13fd1b4d80 |
85850803584 has 768 divisors, whose sum is σ = 322271040000. Its totient is φ = 22605391872.
The previous prime is 85850803561. The next prime is 85850803589. The reversal of 85850803584 is 48530805858.
It is a happy number.
85850803584 is a `hidden beast` number, since 8 + 5 + 8 + 50 + 8 + 0 + 3 + 584 = 666.
It is a super-4 number, since 4×858508035844 (a number of 45 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 85850803584.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85850803589) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138692427 + ... + 138693045.
It is an arithmetic number, because the mean of its divisors is an integer number (419623750).
Almost surely, 285850803584 is an apocalyptic number.
85850803584 is a gapful number since it is divisible by the number (84) 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 85850803584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161135520000).
85850803584 is an abundant number, since it is smaller than the sum of its proper divisors (236420236416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85850803584 is an equidigital number, since it uses as much as digits as its factorization.
85850803584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 682 (or 644 counting only the distinct ones).
The product of its (nonzero) digits is 6144000, while the sum is 54.
The spelling of 85850803584 in words is "eighty-five billion, eight hundred fifty million, eight hundred three thousand, five hundred eighty-four".
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