Base | Representation |
---|---|
bin | 11010000010001000… |
… | …001111000101010110 |
3 | 2200011002111120100120 |
4 | 122002020033011112 |
5 | 424221432011130 |
6 | 20501425452410 |
7 | 2006462405061 |
oct | 320210170526 |
9 | 80132446316 |
10 | 27953000790 |
11 | 10944816250 |
12 | 55014a1106 |
13 | 2836273470 |
14 | 14d26378d8 |
15 | ad9080910 |
hex | 68220f156 |
27953000790 has 128 divisors (see below), whose sum is σ = 78888079872. Its totient is φ = 6249477120.
The previous prime is 27953000783. The next prime is 27953000797. The reversal of 27953000790 is 9700035972.
27953000790 is a nontrivial binomial coefficient, being equal to C(236445, 2).
It is an interprime number because it is at equal distance from previous prime (27953000783) and next prime (27953000797).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (27953000797) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6145297 + ... + 6149843.
It is an arithmetic number, because the mean of its divisors is an integer number (616313124).
Almost surely, 227953000790 is an apocalyptic number.
27953000790 is the 236444-th triangular number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27953000790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39444039936).
27953000790 is an abundant number, since it is smaller than the sum of its proper divisors (50935079082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27953000790 is a wasteful number, since it uses less digits than its factorization.
27953000790 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6014.
The product of its (nonzero) digits is 119070, while the sum is 42.
The spelling of 27953000790 in words is "twenty-seven billion, nine hundred fifty-three million, seven hundred ninety", and thus it is an aban number.
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