| Base | Representation |
|---|---|
| bin | 1111101010000100111… |
| … | …1011010110110000000 |
| 3 | 221201022121001122200000 |
| 4 | 3322201033122312000 |
| 5 | 13401344221134430 |
| 6 | 323323532400000 |
| 7 | 25301621005650 |
| oct | 3724117326600 |
| 9 | 851277048600 |
| 10 | 268993146240 |
| 11 | a4096689125 |
| 12 | 44171316000 |
| 13 | 1c49ac99b70 |
| 14 | d03b0c4360 |
| 15 | 6ee549ce60 |
| hex | 3ea13dad80 |
268993146240 has 1536 divisors, whose sum is σ = 1205085772800. Its totient is φ = 55825956864.
The previous prime is 268993146217. The next prime is 268993146259. The reversal of 268993146240 is 42641399862.
268993146240 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 9 + 3 + 1 + 4 + 624 + 0 = 666.
268993146240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2689931462402 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
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 191 ways as a sum of consecutive naturals, for example, 1174642446 + ... + 1174642674.
It is an arithmetic number, because the mean of its divisors is an integer number (784561050).
Almost surely, 2268993146240 is an apocalyptic number.
268993146240 is a gapful number since it is divisible by the number (20) 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 268993146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602542886400).
268993146240 is an abundant number, since it is smaller than the sum of its proper divisors (936092626560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
268993146240 is a wasteful number, since it uses less digits than its factorization.
268993146240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 342 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 268993146240 in words is "two hundred sixty-eight billion, nine hundred ninety-three million, one hundred forty-six thousand, two hundred forty".
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