Base | Representation |
---|---|
bin | 1011110000100011011… |
… | …1111011110010000000 |
3 | 201022102120212022201100 |
4 | 2330020313323302000 |
5 | 11302210124442144 |
6 | 232445253334400 |
7 | 20411024405313 |
oct | 2741067736200 |
9 | 638376768640 |
10 | 202012343424 |
11 | 78744779641 |
12 | 33199637400 |
13 | 160851c8928 |
14 | 9ac547097a |
15 | 53c4e74269 |
hex | 2f08dfbc80 |
202012343424 has 96 divisors (see below), whose sum is σ = 583169827500. Its totient is φ = 67122192384.
The previous prime is 202012343399. The next prime is 202012343453. The reversal of 202012343424 is 424343210202.
202012343424 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 234 + 3 + 424 = 666.
202012343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 119854440000 + 82157903424 = 346200^2 + 286632^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×2020123434242 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80452 + ... + 640700.
Almost surely, 2202012343424 is an apocalyptic number.
202012343424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202012343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291584913750).
202012343424 is an abundant number, since it is smaller than the sum of its proper divisors (381157484076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202012343424 is a wasteful number, since it uses less digits than its factorization.
202012343424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 560582 (or 560567 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 202012343424 its reverse (424343210202), we get a palindrome (626355553626).
The spelling of 202012343424 in words is "two hundred two billion, twelve million, three hundred forty-three thousand, four hundred twenty-four".
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