Base | Representation |
---|---|
bin | 111110101101101… |
… | …1111010001010000 |
3 | 12102122201110110000 |
4 | 1331123133101100 |
5 | 13302203423333 |
6 | 544451410000 |
7 | 103101514266 |
oct | 17533372120 |
9 | 5378643400 |
10 | 2104357968 |
11 | 98a945319 |
12 | 4a88b3900 |
13 | 276c8563b |
14 | 15d6a2436 |
15 | c4b28713 |
hex | 7d6df450 |
2104357968 has 50 divisors (see below), whose sum is σ = 6090626234. Its totient is φ = 701452224.
The previous prime is 2104357963. The next prime is 2104357993. The reversal of 2104357968 is 8697534012.
2104357968 is a `hidden beast` number, since 2 + 10 + 4 + 3 + 579 + 68 = 666.
2104357968 is digitally balanced in base 10, 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 only one way, i.e., 1872465984 + 231891984 = 43272^2 + 15228^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
2104357968 is strictly pandigital in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2104357963) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 810571 + ... + 813162.
It is a 2-persistent number, because it is pandigital, and so is 2⋅2104357968 = 4208715936, but 3⋅2104357968 = 6313073904 is not.
Almost surely, 22104357968 is an apocalyptic number.
It is an amenable number.
2104357968 is an abundant number, since it is smaller than the sum of its proper divisors (3986268266).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2104357968 is a wasteful number, since it uses less digits than its factorization.
2104357968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1623753 (or 1623738 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2104357968 is about 45873.2816353921. The cubic root of 2104357968 is about 1281.4643819799.
The spelling of 2104357968 in words is "two billion, one hundred four million, three hundred fifty-seven thousand, nine hundred sixty-eight".
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