| Base | Representation |
|---|---|
| bin | 11001010001001010… |
| … | …111000101000100000 |
| 3 | 2121000211220200022200 |
| 4 | 121101022320220200 |
| 5 | 421031143033210 |
| 6 | 20244124333200 |
| 7 | 1650226615455 |
| oct | 312112705040 |
| 9 | 77024820280 |
| 10 | 27131611680 |
| 11 | 105630a6478 |
| 12 | 53123a4200 |
| 13 | 2735041ac4 |
| 14 | 145550182c |
| 15 | a8bdd10c0 |
| hex | 6512b8a20 |
27131611680 has 288 divisors, whose sum is σ = 95896120320. Its totient is φ = 6978078720.
The previous prime is 27131611679. The next prime is 27131611681. The reversal of 27131611680 is 8611613172.
27131611680 is a `hidden beast` number, since 2 + 7 + 1 + 31 + 611 + 6 + 8 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (27131611679) and next prime (27131611681).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×271316116802 (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 not an unprimeable number, because it can be changed into a prime (27131611681) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 16024914 + ... + 16026606.
It is an arithmetic number, because the mean of its divisors is an integer number (332972640).
Almost surely, 227131611680 is an apocalyptic number.
27131611680 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 27131611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948060160).
27131611680 is an abundant number, since it is smaller than the sum of its proper divisors (68764508640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27131611680 is a wasteful number, since it uses less digits than its factorization.
27131611680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The spelling of 27131611680 in words is "twenty-seven billion, one hundred thirty-one million, six hundred eleven thousand, six hundred eighty".
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