Base | Representation |
---|---|
bin | 101101010001111110… |
… | …0010110010011000000 |
3 | 100021222210210222102001 |
4 | 1122203330112103000 |
5 | 3043121341133223 |
6 | 112401002033344 |
7 | 10011456356242 |
oct | 1324374262300 |
9 | 307883728361 |
10 | 97239786688 |
11 | 3826a362a80 |
12 | 16a194a8854 |
13 | 9228a02c25 |
14 | 49c6636092 |
15 | 27e1c5d9ad |
hex | 16a3f164c0 |
97239786688 has 112 divisors (see below), whose sum is σ = 212634576000. Its totient is φ = 43753881600.
The previous prime is 97239786673. The next prime is 97239786689. The reversal of 97239786688 is 88668793279.
It is a super-2 number, since 2×972397866882 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 97239786688.
It is not an unprimeable number, because it can be changed into a prime (97239786689) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46018720 + ... + 46020832.
It is an arithmetic number, because the mean of its divisors is an integer number (1898523000).
Almost surely, 297239786688 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 97239786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106317288000).
97239786688 is an abundant number, since it is smaller than the sum of its proper divisors (115394789312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97239786688 is a wasteful number, since it uses less digits than its factorization.
97239786688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2766 (or 2756 counting only the distinct ones).
The product of its digits is 438939648, while the sum is 73.
It can be divided in two parts, 9723978 and 6688, that added together give a triangular number (9730666 = T4411).
The spelling of 97239786688 in words is "ninety-seven billion, two hundred thirty-nine million, seven hundred eighty-six thousand, six hundred eighty-eight".
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