| Base | Representation |
|---|---|
| bin | 1111011011001101… |
| … | …11001011000100100 |
| 3 | 210101010211212202100 |
| 4 | 13231212321120210 |
| 5 | 113430012122004 |
| 6 | 3445430212100 |
| 7 | 412135301244 |
| oct | 75546713044 |
| 9 | 23333755670 |
| 10 | 8281364004 |
| 11 | 356a683391 |
| 12 | 17314b4030 |
| 13 | a1c9175b4 |
| 14 | 587bc9b24 |
| 15 | 337077739 |
| hex | 1ed9b9624 |
8281364004 has 81 divisors (see below), whose sum is σ = 21721714833. Its totient is φ = 2660170464.
The previous prime is 8281363973. The next prime is 8281364009. The reversal of 8281364004 is 4004631828.
The square root of 8281364004 is 91002.
It is a perfect power (a square), and thus also a powerful number.
8281364004 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 3 + 640 + 0 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4342546404 + 3938817600 = 65898^2 + 62760^2 .
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 8281364004.
It is not an unprimeable number, because it can be changed into a prime (8281364009) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15834087 + ... + 15834609.
Almost surely, 28281364004 is an apocalyptic number.
8281364004 is the 91002-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8281364004
8281364004 is an abundant number, since it is smaller than the sum of its proper divisors (13440350829).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8281364004 is a wasteful number, since it uses less digits than its factorization.
8281364004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1114 (or 557 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The cubic root of 8281364004 is about 2023.1773675941.
Multiplying 8281364004 by its sum of digits (36), we get a square (298129104144 = 5460122).
8281364004 divided by its sum of digits (36) gives a square (230037889 = 151672).
Multiplying 8281364004 by its product of nonzero digits (36864), we get a square (305284202643456 = 174723842).
The spelling of 8281364004 in words is "eight billion, two hundred eighty-one million, three hundred sixty-four thousand, four".
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