Search a number
-
+
27116084268 = 22327138277193
BaseRepresentation
bin11001010000001111…
…101001110000101100
32120222202200210201100
4121100033221300230
5421013204144033
620242411443100
71646650625160
oct312017516054
976882623640
1027116084268
11105553604a9
125309156490
132731a663a0
14145341cca0
15a8a865513
hex6503e9c2c

27116084268 has 72 divisors (see below), whose sum is σ = 84361161248. Its totient is φ = 7151493888.

The previous prime is 27116084263. The next prime is 27116084293. The reversal of 27116084268 is 86248061172.

27116084268 is a `hidden beast` number, since 2 + 7 + 11 + 608 + 4 + 26 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27116084263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135321 + ... + 4141872.

Almost surely, 227116084268 is an apocalyptic number.

27116084268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27116084268 is an abundant number, since it is smaller than the sum of its proper divisors (57245076980).

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

27116084268 is a wasteful number, since it uses less digits than its factorization.

27116084268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8277223 (or 8277218 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27116084268 in words is "twenty-seven billion, one hundred sixteen million, eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 8277193 16554386 24831579 33108772 49663158 57940351 74494737 99326316 107603509 115880702 148989474 173821053 215207018 231761404 297978948 322810527 347642106 430414036 521463159 645621054 695284212 753224563 968431581 1042926318 1291242108 1506449126 1936863162 2085852636 2259673689 3012898252 3873726324 4519347378 6779021067 9038694756 13558042134 27116084268