Base | Representation |
---|---|
bin | 111010100100010110110… |
… | …1111110101000000000000 |
3 | 1001111112021000112101011200 |
4 | 1311020231233311000000 |
5 | 2023340422233202110 |
6 | 25041523401141200 |
7 | 1460363003662134 |
oct | 165105557650000 |
9 | 31445230471150 |
10 | 8049536225280 |
11 | 26238753914a0 |
12 | aa007948a800 |
13 | 4650b6553474 |
14 | 1db8575673c4 |
15 | de5c0c4a6c0 |
hex | 7522dbf5000 |
8049536225280 has 1248 divisors, whose sum is σ = 31819205763072. Its totient is φ = 1864492646400.
The previous prime is 8049536225261. The next prime is 8049536225287. The reversal of 8049536225280 is 825226359408.
8049536225280 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 5 + 3 + 622 + 5 + 2 + 8 + 0 = 666.
It is a super-2 number, since 2×80495362252802 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8049536225287) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 5216808189 + ... + 5216809731.
It is an arithmetic number, because the mean of its divisors is an integer number (25496158464).
Almost surely, 28049536225280 is an apocalyptic number.
8049536225280 is a gapful number since it is divisible by the number (80) 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 8049536225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909602881536).
8049536225280 is an abundant number, since it is smaller than the sum of its proper divisors (23769669537792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8049536225280 is a wasteful number, since it uses less digits than its factorization.
8049536225280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1703 (or 1678 counting only the distinct ones).
The product of its (nonzero) digits is 8294400, while the sum is 54.
The spelling of 8049536225280 in words is "eight trillion, forty-nine billion, five hundred thirty-six million, two hundred twenty-five thousand, two hundred eighty".
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