Base | Representation |
---|---|
bin | 100001111100100100… |
… | …100000010100100100 |
3 | 10111002020111201210001 |
4 | 201330210200110210 |
5 | 1044122104321344 |
6 | 24424511111044 |
7 | 2430154122400 |
oct | 417444402444 |
9 | 114066451701 |
10 | 36449682724 |
11 | 14504994134 |
12 | 7092b12484 |
13 | 358b679300 |
14 | 1a9ac72100 |
15 | e34e8aed4 |
hex | 87c920524 |
36449682724 has 81 divisors (see below), whose sum is σ = 80424647667. Its totient is φ = 14405908608.
The previous prime is 36449682721. The next prime is 36449682749. The reversal of 36449682724 is 42728694463.
It is a happy number.
The square root of 36449682724 is 190918.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 261468900 + 36188213824 = 16170^2 + 190232^2 .
It is not an unprimeable number, because it can be changed into a prime (36449682721) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34746552 + ... + 34747600.
Almost surely, 236449682724 is an apocalyptic number.
36449682724 is the 190918-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36449682724
36449682724 is an abundant number, since it is smaller than the sum of its proper divisors (43974964943).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36449682724 is a wasteful number, since it uses less digits than its factorization.
36449682724 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).
The product of its digits is 13934592, while the sum is 55.
The spelling of 36449682724 in words is "thirty-six billion, four hundred forty-nine million, six hundred eighty-two thousand, seven hundred twenty-four".
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