Base | Representation |
---|---|
bin | 11001001101100101… |
… | …010110000010000000 |
3 | 2120212122200120220000 |
4 | 121031211112002000 |
5 | 420420242021401 |
6 | 20234134520000 |
7 | 1645566302031 |
oct | 311545260200 |
9 | 76778616800 |
10 | 27071438976 |
11 | 1053213786a |
12 | 52b6206000 |
13 | 272573435a |
14 | 144b51aa88 |
15 | a86997186 |
hex | 64d956080 |
27071438976 has 160 divisors (see below), whose sum is σ = 81768712080. Its totient is φ = 8888901120.
The previous prime is 27071438971. The next prime is 27071438987. The reversal of 27071438976 is 67983417072.
27071438976 is a `hidden beast` number, since 2 + 70 + 71 + 438 + 9 + 76 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (27071438971) 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 19 ways as a sum of consecutive naturals, for example, 675171 + ... + 714141.
Almost surely, 227071438976 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27071438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884356040).
27071438976 is an abundant number, since it is smaller than the sum of its proper divisors (54697273104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27071438976 is an equidigital number, since it uses as much as digits as its factorization.
27071438976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39064 (or 39043 counting only the distinct ones).
The product of its (nonzero) digits is 3556224, while the sum is 54.
The spelling of 27071438976 in words is "twenty-seven billion, seventy-one million, four hundred thirty-eight thousand, nine hundred seventy-six".
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