Search a number
-
+
27382168836 = 22321126286081
BaseRepresentation
bin11001100000000110…
…101011110100000100
32121200022101022010100
4121200012223310010
5422034313400321
620325034524100
71656361411011
oct314006536404
977608338110
1027382168836
111068157a800
125382296630
132774c1ac89
14147a8c4708
15aa3dc5326
hex6601abd04

27382168836 has 54 divisors (see below), whose sum is σ = 76080450446. Its totient is φ = 8297625600.

The previous prime is 27382168811. The next prime is 27382168837. The reversal of 27382168836 is 63886128372.

27382168836 is a `hidden beast` number, since 27 + 382 + 168 + 83 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17581168836 + 9801000000 = 132594^2 + 99000^2 .

It is not an unprimeable number, because it can be changed into a prime (27382168837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3138685 + ... + 3147396.

Almost surely, 227382168836 is an apocalyptic number.

It is an amenable number.

27382168836 is an abundant number, since it is smaller than the sum of its proper divisors (48698281610).

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

27382168836 is a wasteful number, since it uses less digits than its factorization.

27382168836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286113 (or 6286097 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 27382168836 in words is "twenty-seven billion, three hundred eighty-two million, one hundred sixty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 6286081 12572162 18858243 25144324 37716486 56574729 69146891 75432972 113149458 138293782 207440673 226298916 276587564 414881346 622322019 760615801 829762692 1244644038 1521231602 2281847403 2489288076 3042463204 4563694806 6845542209 9127389612 13691084418 27382168836