| Base | Representation |
|---|---|
| bin | 101101100110110101… |
| … | …1111010111110110000 |
| 3 | 100100210121121210000000 |
| 4 | 1123031223322332300 |
| 5 | 3101040132423233 |
| 6 | 112554300430000 |
| 7 | 10035022212600 |
| oct | 1331553727660 |
| 9 | 310717553000 |
| 10 | 97940123568 |
| 11 | 38599712491 |
| 12 | 16b93b48300 |
| 13 | 930ab2c751 |
| 14 | 4a5165ac00 |
| 15 | 283349ad13 |
| hex | 16cdafafb0 |
97940123568 has 360 divisors, whose sum is σ = 332450589360. Its totient is φ = 27865809216.
The previous prime is 97940123557. The next prime is 97940123569. The reversal of 97940123568 is 86532104979.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
97940123568 is a `hidden beast` number, since 9 + 79 + 4 + 0 + 1 + 2 + 3 + 568 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (97940123569) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 409791193 + ... + 409791431.
It is a 2-persistent number, because it is pandigital, and so is 2⋅97940123568 = 195880247136, but 3⋅97940123568 = 293820370704 is not.
Almost surely, 297940123568 is an apocalyptic number.
97940123568 is a gapful number since it is divisible by the number (98) 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 97940123568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166225294680).
97940123568 is an abundant number, since it is smaller than the sum of its proper divisors (234510465792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97940123568 is an frugal number, since it uses more digits than its factorization.
97940123568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 521 (or 251 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 97940123568 in words is "ninety-seven billion, nine hundred forty million, one hundred twenty-three thousand, five hundred sixty-eight".
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