Base | Representation |
---|---|
bin | 100111110001011110… |
… | …0111011001111110000 |
3 | 22011110111202012100021 |
4 | 1033202330323033300 |
5 | 2344410433011002 |
6 | 103123203333224 |
7 | 6112406012311 |
oct | 1174274731760 |
9 | 264414665307 |
10 | 85412000752 |
11 | 3324a936381 |
12 | 14678381214 |
13 | 8092447420 |
14 | 41c3846608 |
15 | 234d6a9737 |
hex | 13e2f3b3f0 |
85412000752 has 80 divisors (see below), whose sum is σ = 181777115520. Its totient is φ = 38634725376.
The previous prime is 85412000741. The next prime is 85412000789. The reversal of 85412000752 is 25700021458.
It is a happy number.
It is a super-3 number, since 3×854120007523 (a number of 34 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11450208 + ... + 11457664.
It is an arithmetic number, because the mean of its divisors is an integer number (2272213944).
Almost surely, 285412000752 is an apocalyptic number.
85412000752 is the 238624-th pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 85412000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90888557760).
85412000752 is an abundant number, since it is smaller than the sum of its proper divisors (96365114768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85412000752 is a wasteful number, since it uses less digits than its factorization.
85412000752 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8570 (or 8564 counting only the distinct ones).
The product of its (nonzero) digits is 22400, while the sum is 34.
The spelling of 85412000752 in words is "eighty-five billion, four hundred twelve million, seven hundred fifty-two", and thus it is an aban number.
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