| Base | Representation |
|---|---|
| bin | 10010100100111110… |
| … | …00101010111101000 |
| 3 | 221202002111021201200 |
| 4 | 21102133011113220 |
| 5 | 130411244033020 |
| 6 | 4325405244200 |
| 7 | 502106012100 |
| oct | 112237052750 |
| 9 | 27662437650 |
| 10 | 9973814760 |
| 11 | 4258a5a718 |
| 12 | 1b24263660 |
| 13 | c2c44c950 |
| 14 | 6a88a8200 |
| 15 | 3d5939590 |
| hex | 2527c55e8 |
9973814760 has 1152 divisors, whose sum is σ = 44457154560. Its totient is φ = 1916006400.
The previous prime is 9973814743. The next prime is 9973814797. The reversal of 9973814760 is 674183799.
It is a happy number.
9973814760 is a `hidden beast` number, since 9 + 97 + 3 + 81 + 476 + 0 = 666.
9973814760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 9973814697 and 9973814706.
It is a congruent number.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 163505130 + ... + 163505190.
It is an arithmetic number, because the mean of its divisors is an integer number (38591280).
Almost surely, 29973814760 is an apocalyptic number.
9973814760 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 9973814760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).
9973814760 is an abundant number, since it is smaller than the sum of its proper divisors (34483339800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9973814760 is a wasteful number, since it uses less digits than its factorization.
9973814760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 2286144, while the sum is 54.
The square root of 9973814760 is about 99868.9879792521. The cubic root of 9973814760 is about 2152.5525666322.
The spelling of 9973814760 in words is "nine billion, nine hundred seventy-three million, eight hundred fourteen thousand, seven hundred sixty".
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