| Base | Representation |
|---|---|
| bin | 10011010111100001… |
| … | …00011100100000000 |
| 3 | 222211122100020211000 |
| 4 | 21223300203210000 |
| 5 | 132243320402110 |
| 6 | 4435433252000 |
| 7 | 515445025263 |
| oct | 115360434400 |
| 9 | 28748306730 |
| 10 | 10397825280 |
| 11 | 4456335037 |
| 12 | 2022264000 |
| 13 | c99249c4b |
| 14 | 708d1ccda |
| 15 | 40cc921c0 |
| hex | 26bc23900 |
10397825280 has 576 divisors, whose sum is σ = 39182008320. Its totient is φ = 2605768704.
The previous prime is 10397825279. The next prime is 10397825287. The reversal of 10397825280 is 8252879301.
It is a happy number.
10397825280 is a `hidden beast` number, since 1 + 0 + 397 + 8 + 252 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×103978252802 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10397825287) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81872577 + ... + 81872703.
It is an arithmetic number, because the mean of its divisors is an integer number (68024320).
Almost surely, 210397825280 is an apocalyptic number.
10397825280 is a gapful number since it is divisible by the number (10) 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 10397825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591004160).
10397825280 is an abundant number, since it is smaller than the sum of its proper divisors (28784183040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10397825280 is a wasteful number, since it uses less digits than its factorization.
10397825280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 283 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The spelling of 10397825280 in words is "ten billion, three hundred ninety-seven million, eight hundred twenty-five thousand, two hundred eighty".
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