| Base | Representation |
|---|---|
| bin | 11001010011010110… |
| … | …101100010000000000 |
| 3 | 2121010101212122220100 |
| 4 | 121103112230100000 |
| 5 | 421120033323440 |
| 6 | 20251514042400 |
| 7 | 1651153260240 |
| oct | 312326542000 |
| 9 | 77111778810 |
| 10 | 27168261120 |
| 11 | 10581858770 |
| 12 | 5322719400 |
| 13 | 273c804570 |
| 14 | 145a321b20 |
| 15 | a90220230 |
| hex | 6535ac400 |
27168261120 has 2112 divisors, whose sum is σ = 137338306560. Its totient is φ = 4777574400.
The previous prime is 27168261097. The next prime is 27168261143. The reversal of 27168261120 is 2116286172.
27168261120 is a `hidden beast` number, since 2 + 7 + 16 + 8 + 2 + 611 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (27168261097) and next prime (27168261143).
It is a tau number, because it is divible by the number of its divisors (2112).
It is a super-2 number, since 2×271682611202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 876395505 + ... + 876395535.
Almost surely, 227168261120 is an apocalyptic number.
27168261120 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 27168261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68669153280).
27168261120 is an abundant number, since it is smaller than the sum of its proper divisors (110170045440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27168261120 is a wasteful number, since it uses less digits than its factorization.
27168261120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 36.
It can be divided in two parts, 2716826 and 1120, that added together give a triangular number (2717946 = T2331).
The spelling of 27168261120 in words is "twenty-seven billion, one hundred sixty-eight million, two hundred sixty-one thousand, one hundred twenty".
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