Base | Representation |
---|---|
bin | 1010010110110111… |
… | …0011000000000000 |
3 | 21011202112010112200 |
4 | 2211231303000000 |
5 | 21143220333031 |
6 | 1135514153200 |
7 | 125616462342 |
oct | 24555630000 |
9 | 7152463480 |
10 | 2780246016 |
11 | 11a7415a89 |
12 | 657122800 |
13 | 354001ab2 |
14 | 1c5361292 |
15 | 1141368e6 |
hex | a5b73000 |
2780246016 has 156 divisors (see below), whose sum is σ = 8188116768. Its totient is φ = 908623872.
The previous prime is 2780245999. The next prime is 2780246017. The reversal of 2780246016 is 6106420872.
2780246016 is a `hidden beast` number, since 27 + 8 + 0 + 24 + 601 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2780246017) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953081 + ... + 1954503.
It is an arithmetic number, because the mean of its divisors is an integer number (52487928).
Almost surely, 22780246016 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 2780246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094058384).
2780246016 is an abundant number, since it is smaller than the sum of its proper divisors (5407870752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2780246016 is a wasteful number, since it uses less digits than its factorization.
2780246016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1506 (or 1481 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 2780246016 is about 52728.0382339415. The cubic root of 2780246016 is about 1406.1373441249.
Adding to 2780246016 its reverse (6106420872), we get a palindrome (8886666888).
The spelling of 2780246016 in words is "two billion, seven hundred eighty million, two hundred forty-six thousand, sixteen".
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