Base | Representation |
---|---|
bin | 1010000010000110… |
… | …1111000010010000 |
3 | 20221200201122001220 |
4 | 2200201233002100 |
5 | 21003424313333 |
6 | 1123124325040 |
7 | 123511543056 |
oct | 24041570220 |
9 | 6850648056 |
10 | 2693197968 |
11 | 116227054a |
12 | 631b43780 |
13 | 33bc74686 |
14 | 1b79821d6 |
15 | 10b68e8b3 |
hex | a086f090 |
2693197968 has 80 divisors (see below), whose sum is σ = 7111152000. Its totient is φ = 878006272.
The previous prime is 2693197967. The next prime is 2693197993. The reversal of 2693197968 is 8697913962.
It is not an unprimeable number, because it can be changed into a prime (2693197963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896533 + ... + 899531.
It is an arithmetic number, because the mean of its divisors is an integer number (88889400).
Almost surely, 22693197968 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 2693197968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555576000).
2693197968 is an abundant number, since it is smaller than the sum of its proper divisors (4417954032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2693197968 is a wasteful number, since it uses less digits than its factorization.
2693197968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).
The product of its digits is 8817984, while the sum is 60.
The square root of 2693197968 is about 51896.0303684203. The cubic root of 2693197968 is about 1391.3063246781.
It can be divided in two parts, 2693 and 197968, that added together give a triangular number (200661 = T633).
The spelling of 2693197968 in words is "two billion, six hundred ninety-three million, one hundred ninety-seven thousand, nine hundred sixty-eight".
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