Base | Representation |
---|---|
bin | 100110110001100111… |
… | …0101110001010010000 |
3 | 21221221011122201202100 |
4 | 1031203032232022100 |
5 | 2331013402311341 |
6 | 102130415320400 |
7 | 6005326240512 |
oct | 1154316561220 |
9 | 257834581670 |
10 | 83269182096 |
11 | 32350311a71 |
12 | 1417a820100 |
13 | 7b10516aa9 |
14 | 405d011bb2 |
15 | 22754d53b6 |
hex | 13633ae290 |
83269182096 has 135 divisors (see below), whose sum is σ = 236091296649. Its totient is φ = 27397420416.
The previous prime is 83269182091. The next prime is 83269182131. The reversal of 83269182096 is 69028196238.
The square root of 83269182096 is 288564.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 75746048400 + 7523133696 = 275220^2 + 86736^2 .
It is not an unprimeable number, because it can be changed into a prime (83269182091) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 481324666 + ... + 481324838.
Almost surely, 283269182096 is an apocalyptic number.
83269182096 is the 288564-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83269182096
83269182096 is an abundant number, since it is smaller than the sum of its proper divisors (152822114553).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83269182096 is a wasteful number, since it uses less digits than its factorization.
83269182096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 638 (or 317 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 83269182096 in words is "eighty-three billion, two hundred sixty-nine million, one hundred eighty-two thousand, ninety-six".
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