Search a number
-
+
27014046180 = 223511217474657
BaseRepresentation
bin11001001010001010…
…011010000111100100
32120201122200201202220
4121022022122013210
5420311043434210
620224324432340
71644301414062
oct311212320744
976648621686
1027014046180
11105027a7800
12529ab486b0
13271688b014
141443a5b032
15a8190bc70
hex64a29a1e4

27014046180 has 288 divisors, whose sum is σ = 89923696128. Its totient is φ = 6031196160.

The previous prime is 27014046149. The next prime is 27014046193. The reversal of 27014046180 is 8164041072.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5798412 + ... + 5803068.

It is an arithmetic number, because the mean of its divisors is an integer number (312235056).

Almost surely, 227014046180 is an apocalyptic number.

27014046180 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 27014046180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44961848064).

27014046180 is an abundant number, since it is smaller than the sum of its proper divisors (62909649948).

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

27014046180 is a wasteful number, since it uses less digits than its factorization.

27014046180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 27014046180 in words is "twenty-seven billion, fourteen million, forty-six thousand, one hundred eighty".