Base | Representation |
---|---|
bin | 101101100110100100… |
… | …0111111111000000000 |
3 | 100100202222101122201020 |
4 | 1123031020333320000 |
5 | 3101030311443301 |
6 | 112553332305440 |
7 | 10034551332630 |
oct | 1331510777000 |
9 | 310688348636 |
10 | 97930968576 |
11 | 3859452a181 |
12 | 16b90a72280 |
13 | 9308c756ac |
14 | 4a503566c0 |
15 | 283278d436 |
hex | 16cd23fe00 |
97930968576 has 160 divisors (see below), whose sum is σ = 313858364160. Its totient is φ = 26507575296.
The previous prime is 97930968571. The next prime is 97930968617. The reversal of 97930968576 is 67586903979.
It is a self number, because there is not a number n which added to its sum of digits gives 97930968576.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97930968571) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35401 + ... + 443976.
It is an arithmetic number, because the mean of its divisors is an integer number (1961614776).
Almost surely, 297930968576 is an apocalyptic number.
97930968576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97930968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156929182080).
97930968576 is an abundant number, since it is smaller than the sum of its proper divisors (215927395584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97930968576 is a wasteful number, since it uses less digits than its factorization.
97930968576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 479424 (or 479408 counting only the distinct ones).
The product of its (nonzero) digits is 154314720, while the sum is 69.
The spelling of 97930968576 in words is "ninety-seven billion, nine hundred thirty million, nine hundred sixty-eight thousand, five hundred seventy-six".
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