Base | Representation |
---|---|
bin | 11001001011100000… |
… | …010110101011000010 |
3 | 2120210020002101111100 |
4 | 121023200112223002 |
5 | 420332330421300 |
6 | 20230451355230 |
7 | 1644664052022 |
oct | 311340265302 |
9 | 76706071440 |
10 | 27036576450 |
11 | 10514496064 |
12 | 52a65b2b16 |
13 | 271b449040 |
14 | 1446a43a82 |
15 | a838ac700 |
hex | 64b816ac2 |
27036576450 has 144 divisors (see below), whose sum is σ = 82827651816. Its totient is φ = 6263654400.
The previous prime is 27036576443. The next prime is 27036576451. The reversal of 27036576450 is 5467563072.
27036576450 is a `hidden beast` number, since 2 + 7 + 0 + 36 + 576 + 45 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 6211488969 + 20825087481 = 78813^2 + 144309^2 .
It is a super-3 number, since 3×270365764503 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a junction number, because it is equal to n+sod(n) for n = 27036576396 and 27036576405.
It is not an unprimeable number, because it can be changed into a prime (27036576451) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36481 + ... + 235380.
Almost surely, 227036576450 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27036576450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41413825908).
27036576450 is an abundant number, since it is smaller than the sum of its proper divisors (55791075366).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27036576450 is a wasteful number, since it uses less digits than its factorization.
27036576450 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 271909 (or 271901 counting only the distinct ones).
The product of its (nonzero) digits is 1058400, while the sum is 45.
The spelling of 27036576450 in words is "twenty-seven billion, thirty-six million, five hundred seventy-six thousand, four hundred fifty".
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