| Base | Representation |
|---|---|
| bin | 1100011100111001010011… |
| … | …00011101000010000000000 |
| 3 | 10120221121102220010022100000 |
| 4 | 12032130221203220100000 |
| 5 | 12042103010102432020 |
| 6 | 134122413205200000 |
| 7 | 5524135344314565 |
| oct | 616345143502000 |
| 9 | 116847386108300 |
| 10 | 27381113717760 |
| 11 | 87a72a0962360 |
| 12 | 30a2787700000 |
| 13 | 123804951755a |
| 14 | 6a937824086c |
| 15 | 3273a3da8090 |
| hex | 18e7298e8400 |
27381113717760 has 2112 divisors, whose sum is σ = 115075767066624. Its totient is φ = 6175014912000.
The previous prime is 27381113717747. The next prime is 27381113717767. The reversal of 27381113717760 is 6771731118372.
27381113717760 is a `hidden beast` number, since 2 + 7 + 38 + 111 + 371 + 77 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (2112).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 27381113717697 and 27381113717706.
It is not an unprimeable number, because it can be changed into a prime (27381113717767) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11646580585 + ... + 11646582935.
Almost surely, 227381113717760 is an apocalyptic number.
27381113717760 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 27381113717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57537883533312).
27381113717760 is an abundant number, since it is smaller than the sum of its proper divisors (87694653348864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27381113717760 is a wasteful number, since it uses less digits than its factorization.
27381113717760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2462 (or 2432 counting only the distinct ones).
The product of its (nonzero) digits is 2074464, while the sum is 54.
The spelling of 27381113717760 in words is "twenty-seven trillion, three hundred eighty-one billion, one hundred thirteen million, seven hundred seventeen thousand, seven hundred sixty".
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