Base | Representation |
---|---|
bin | 100101110111101001… |
… | …1001111100001100100 |
3 | 21202220121211221000000 |
4 | 1023233103033201210 |
5 | 2313022444212101 |
6 | 101205420021300 |
7 | 5606201244651 |
oct | 1135723174144 |
9 | 252817757000 |
10 | 81324210276 |
11 | 3154243a941 |
12 | 13917391830 |
13 | 78905986aa |
14 | 3d1699cc28 |
15 | 21ae892486 |
hex | 12ef4cf864 |
81324210276 has 63 divisors (see below), whose sum is σ = 213418853193. Its totient is φ = 27102936960.
The previous prime is 81324210259. The next prime is 81324210293. The reversal of 81324210276 is 67201242318.
It is a happy number.
The square root of 81324210276 is 285174.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (81324210259) and next prime (81324210293).
It can be written as a sum of positive squares in only one way, i.e., 10738347876 + 70585862400 = 103626^2 + 265680^2 .
It is a super-3 number, since 3×813242102763 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 81324210276.
It is an unprimeable number.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 15396756 + ... + 15402036.
Almost surely, 281324210276 is an apocalyptic number.
81324210276 is the 285174-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 81324210276
81324210276 is an abundant number, since it is smaller than the sum of its proper divisors (132094642917).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81324210276 is an frugal number, since it uses more digits than its factorization.
81324210276 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10584 (or 5286 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
Multiplying 81324210276 by its sum of digits (36), we get a square (2927671569936 = 17110442).
81324210276 divided by its sum of digits (36) gives a square (2259005841 = 475292).
It can be divided in two parts, 81324 and 210276, that added together give a square (291600 = 5402).
The spelling of 81324210276 in words is "eighty-one billion, three hundred twenty-four million, two hundred ten thousand, two hundred seventy-six".
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