Base | Representation |
---|---|
bin | 10001110011110101101… |
… | …000100000100110000000 |
3 | 11100000002010020201120020 |
4 | 101303311220200212000 |
5 | 130023012241433443 |
6 | 2334125331413440 |
7 | 154265115135450 |
oct | 21636550404600 |
9 | 4300063221506 |
10 | 1223891749248 |
11 | 43205aa92a03 |
12 | 179246a54280 |
13 | 8b549341c3c |
14 | 43345625d60 |
15 | 21c82447583 |
hex | 11cf5a20980 |
1223891749248 has 768 divisors, whose sum is σ = 4019352268800. Its totient is φ = 322784870400.
The previous prime is 1223891749133. The next prime is 1223891749271. The reversal of 1223891749248 is 8429471983221.
It is a super-2 number, since 2×12238917492482 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1223891749191 and 1223891749200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11228364618 + ... + 11228364726.
It is an arithmetic number, because the mean of its divisors is an integer number (5233531600).
Almost surely, 21223891749248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1223891749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009676134400).
1223891749248 is an abundant number, since it is smaller than the sum of its proper divisors (2795460519552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223891749248 is a wasteful number, since it uses less digits than its factorization.
1223891749248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319 (or 260 counting only the distinct ones).
The product of its digits is 13934592, while the sum is 60.
The spelling of 1223891749248 in words is "one trillion, two hundred twenty-three billion, eight hundred ninety-one million, seven hundred forty-nine thousand, two hundred forty-eight".
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