Base | Representation |
---|---|
bin | 100010000010001010… |
… | …100000100000100000 |
3 | 10111022210002201110121 |
4 | 202002022200200200 |
5 | 1044320120443130 |
6 | 24442102410024 |
7 | 2432403613552 |
oct | 420212404040 |
9 | 114283081417 |
10 | 36543531040 |
11 | 14552963825 |
12 | 70ba430914 |
13 | 35a4c47a63 |
14 | 1aa95014d2 |
15 | e3d327d7a |
hex | 8822a0820 |
36543531040 has 96 divisors (see below), whose sum is σ = 90102786480. Its totient is φ = 13988265984.
The previous prime is 36543531023. The next prime is 36543531047. The reversal of 36543531040 is 4013534563.
It can be written as a sum of positive squares in 8 ways, for example, as 18418832656 + 18124698384 = 135716^2 + 134628^2 .
It is a junction number, because it is equal to n+sod(n) for n = 36543530987 and 36543531005.
It is not an unprimeable number, because it can be changed into a prime (36543531047) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489472 + ... + 559168.
Almost surely, 236543531040 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36543531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45051393240).
36543531040 is an abundant number, since it is smaller than the sum of its proper divisors (53559255440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36543531040 is a wasteful number, since it uses less digits than its factorization.
36543531040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69854 (or 69846 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 34.
The spelling of 36543531040 in words is "thirty-six billion, five hundred forty-three million, five hundred thirty-one thousand, forty".
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