Base | Representation |
---|---|
bin | 1110110100101000001… |
… | …01100000101001000100 |
3 | 1210200120100010202210000 |
4 | 13122110011200221010 |
5 | 31321011344111231 |
6 | 1025544225201300 |
7 | 51536460533502 |
oct | 7322405405104 |
9 | 1720510122700 |
10 | 509290613316 |
11 | 186a97301821 |
12 | 82854490230 |
13 | 39044b904c4 |
14 | 1a915087672 |
15 | d3ab5b76e6 |
hex | 7694160a44 |
509290613316 has 135 divisors (see below), whose sum is σ = 1366063800717. Its totient is φ = 165451688640.
The previous prime is 509290613311. The next prime is 509290613339. The reversal of 509290613316 is 613316092905.
The square root of 509290613316 is 713646.
It is a perfect power (a square), and thus also a powerful number.
509290613316 is a `hidden beast` number, since 5 + 0 + 9 + 29 + 0 + 613 + 3 + 1 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 24540475716 + 484750137600 = 156654^2 + 696240^2 .
It is not an unprimeable number, because it can be changed into a prime (509290613311) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 526670265 + ... + 526671231.
Almost surely, 2509290613316 is an apocalyptic number.
509290613316 is the 713646-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 509290613316
509290613316 is an abundant number, since it is smaller than the sum of its proper divisors (856773187401).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
509290613316 is an frugal number, since it uses more digits than its factorization.
509290613316 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2032 (or 1013 counting only the distinct ones).
The product of its (nonzero) digits is 262440, while the sum is 45.
The spelling of 509290613316 in words is "five hundred nine billion, two hundred ninety million, six hundred thirteen thousand, three hundred sixteen".
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