Base | Representation |
---|---|
bin | 100101000010010111… |
… | …011010100100010100 |
3 | 10210122111202211110000 |
4 | 211002113122210110 |
5 | 1122421120440202 |
6 | 30134053131300 |
7 | 2605330420164 |
oct | 450227324424 |
9 | 123574684400 |
10 | 39768140052 |
11 | 15958095253 |
12 | 785a329b30 |
13 | 399a021824 |
14 | 1cd38945a4 |
15 | 107b48791c |
hex | 9425da914 |
39768140052 has 120 divisors (see below), whose sum is σ = 113052810024. Its totient is φ = 12139020288.
The previous prime is 39768140051. The next prime is 39768140147. The reversal of 39768140052 is 25004186793.
It can be written as a sum of positive squares in 4 ways, for example, as 28131340176 + 11636799876 = 167724^2 + 107874^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (39768140051) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106228 + ... + 301364.
It is a 2-persistent number, because it is pandigital, and so is 2⋅39768140052 = 79536280104, but 3⋅39768140052 = 119304420156 is not.
Almost surely, 239768140052 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 39768140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526405012).
39768140052 is an abundant number, since it is smaller than the sum of its proper divisors (73284669972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39768140052 is a wasteful number, since it uses less digits than its factorization.
39768140052 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195207 (or 195196 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 39768140052 in words is "thirty-nine billion, seven hundred sixty-eight million, one hundred forty thousand, fifty-two".
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