| Base | Representation |
|---|---|
| bin | 100111101110110100… |
| … | …0100001001000000000 |
| 3 | 22011020021211112122000 |
| 4 | 1033131220201020000 |
| 5 | 2344220111433200 |
| 6 | 103110254544000 |
| 7 | 6110243351220 |
| oct | 1173550411000 |
| 9 | 264207745560 |
| 10 | 85322764800 |
| 11 | 33204527059 |
| 12 | 14652508000 |
| 13 | 8079b021a0 |
| 14 | 41b5a58080 |
| 15 | 234592e300 |
| hex | 13dda21200 |
85322764800 has 960 divisors, whose sum is σ = 385589487360. Its totient is φ = 17995530240.
The previous prime is 85322764799. The next prime is 85322764801. The reversal of 85322764800 is 846722358.
85322764800 is a `hidden beast` number, since 8 + 532 + 2 + 76 + 48 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (85322764799) and next prime (85322764801).
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-2 number, since 2×853227648002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (85322764801) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31448244 + ... + 31450956.
It is an arithmetic number, because the mean of its divisors is an integer number (401655716).
Almost surely, 285322764800 is an apocalyptic number.
85322764800 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 85322764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192794743680).
85322764800 is an abundant number, since it is smaller than the sum of its proper divisors (300266722560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85322764800 is a wasteful number, since it uses less digits than its factorization.
85322764800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2770 (or 2743 counting only the distinct ones).
The product of its (nonzero) digits is 645120, while the sum is 45.
The spelling of 85322764800 in words is "eighty-five billion, three hundred twenty-two million, seven hundred sixty-four thousand, eight hundred".
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