| Base | Representation |
|---|---|
| bin | 10110010000101010111111… |
| … | …100101100000101000000000 |
| 3 | 110211122101222102010220200100 |
| 4 | 112100222333211200220000 |
| 5 | 100313014211344414430 |
| 6 | 544115513503522400 |
| 7 | 26423144100252600 |
| oct | 2620527745405000 |
| 9 | 424571872126610 |
| 10 | 97902698826240 |
| 11 | 29216335195400 |
| 12 | ab922478b9400 |
| 13 | 4282253267559 |
| 14 | 1a2673190ac00 |
| 15 | b4ba194a9960 |
| hex | 590abf960a00 |
97902698826240 has 4320 divisors, whose sum is σ = 456060015290880. Its totient is φ = 19313344512000.
The previous prime is 97902698826187. The next prime is 97902698826367. The reversal of 97902698826240 is 4262889620979.
97902698826240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×979026988262403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 258318466371 + ... + 258318466749.
It is an arithmetic number, because the mean of its divisors is an integer number (105569447984).
Almost surely, 297902698826240 is an apocalyptic number.
97902698826240 is a gapful number since it is divisible by the number (90) 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 97902698826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228030007645440).
97902698826240 is an abundant number, since it is smaller than the sum of its proper divisors (358157316464640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97902698826240 is a wasteful number, since it uses less digits than its factorization.
97902698826240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 536 (or 499 counting only the distinct ones).
The product of its (nonzero) digits is 376233984, while the sum is 72.
The spelling of 97902698826240 in words is "ninety-seven trillion, nine hundred two billion, six hundred ninety-eight million, eight hundred twenty-six thousand, two hundred forty".
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