Search a number
-
+
27000686016 = 2633172933137
BaseRepresentation
bin11001001001010111…
…011100010111000000
32120200201112222002000
4121021113130113000
5420244133423031
620223130224000
71644050021133
oct311127342700
976621488060
1027000686016
11104a6202047
125296585000
132713b90bb5
141441d8021a
15a8066d3e6
hex6495dc5c0

27000686016 has 224 divisors, whose sum is σ = 84359983680. Its totient is φ = 8439201792.

The previous prime is 27000685991. The next prime is 27000686021. The reversal of 27000686016 is 61068600072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8605600 + ... + 8608736.

It is an arithmetic number, because the mean of its divisors is an integer number (376607070).

Almost surely, 227000686016 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 27000686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42179991840).

27000686016 is an abundant number, since it is smaller than the sum of its proper divisors (57359297664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27000686016 is a wasteful number, since it uses less digits than its factorization.

27000686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27000686016 in words is "twenty-seven billion, six hundred eighty-six thousand, sixteen".