| Base | Representation |
|---|---|
| bin | 11001100011100111… |
| … | …101110110010110000 |
| 3 | 2121211102101112111200 |
| 4 | 121203213232302300 |
| 5 | 422144414212230 |
| 6 | 20334543211200 |
| 7 | 1661006016645 |
| oct | 314347566260 |
| 9 | 77742345450 |
| 10 | 27441163440 |
| 11 | 10701904279 |
| 12 | 5399ba6b00 |
| 13 | 2784205422 |
| 14 | 148467ddcc |
| 15 | aa917a160 |
| hex | 6639eecb0 |
27441163440 has 240 divisors, whose sum is σ = 97380597600. Its totient is φ = 6905806848.
The previous prime is 27441163433. The next prime is 27441163457. The reversal of 27441163440 is 4436114472.
27441163440 is a `hidden beast` number, since 2 + 7 + 4 + 4 + 11 + 634 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×274411634403 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 27441163395 and 27441163404.
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 47 ways as a sum of consecutive naturals, for example, 3676192 + ... + 3683648.
It is an arithmetic number, because the mean of its divisors is an integer number (405752490).
Almost surely, 227441163440 is an apocalyptic number.
27441163440 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 27441163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690298800).
27441163440 is an abundant number, since it is smaller than the sum of its proper divisors (69939434160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27441163440 is a wasteful number, since it uses less digits than its factorization.
27441163440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7764 (or 7755 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The spelling of 27441163440 in words is "twenty-seven billion, four hundred forty-one million, one hundred sixty-three thousand, four hundred forty".
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