| Base | Representation |
|---|---|
| bin | 1001010100111000011010… |
| … | …1000111111100010000000 |
| 3 | 1100022022020222210001220000 |
| 4 | 2111032012220333202000 |
| 5 | 2321001400013002410 |
| 6 | 33450440442520000 |
| 7 | 2105565151252035 |
| oct | 225160650774200 |
| 9 | 40268228701800 |
| 10 | 10254345828480 |
| 11 | 32a3930987556 |
| 12 | 119743b806000 |
| 13 | 594c99691350 |
| 14 | 276454b9738c |
| 15 | 12bb14544dc0 |
| hex | 95386a3f880 |
10254345828480 has 1280 divisors, whose sum is σ = 42030217928160. Its totient is φ = 2360121753600.
The previous prime is 10254345828401. The next prime is 10254345828499. The reversal of 10254345828480 is 8482854345201.
10254345828480 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 43 + 45 + 82 + 8 + 480 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 1274063017536 + 8980282810944 = 1128744^2 + 2996712^2 .
It is a super-4 number, since 4×102543458284804 (a number of 53 digits) contains 4444 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 (54).
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 159 ways as a sum of consecutive naturals, for example, 1798689630 + ... + 1798695330.
Almost surely, 210254345828480 is an apocalyptic number.
10254345828480 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 10254345828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015108964080).
10254345828480 is an abundant number, since it is smaller than the sum of its proper divisors (31775872099680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10254345828480 is a wasteful number, since it uses less digits than its factorization.
10254345828480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5919 (or 5898 counting only the distinct ones).
The product of its (nonzero) digits is 9830400, while the sum is 54.
The spelling of 10254345828480 in words is "ten trillion, two hundred fifty-four billion, three hundred forty-five million, eight hundred twenty-eight thousand, four hundred eighty".
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