Search a number
-
+
27383616256 = 287110314627
BaseRepresentation
bin11001100000001100…
…001101001100000000
32121200102002211121111
4121200030031030000
5422040201210011
620325125533104
71656406616623
oct314014151400
977612084544
1027383616256
1110682379217
125382874194
132775306a39
14147ab7ddba
15aa40ae121
hex66030d300

27383616256 has 72 divisors (see below), whose sum is σ = 55972111104. Its totient is φ = 13366993920.

The previous prime is 27383616217. The next prime is 27383616277. The reversal of 27383616256 is 65261638372.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864815 + ... + 1879441.

It is an arithmetic number, because the mean of its divisors is an integer number (777390432).

Almost surely, 227383616256 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 27383616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27986055552).

27383616256 is an abundant number, since it is smaller than the sum of its proper divisors (28588494848).

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

27383616256 is a wasteful number, since it uses less digits than its factorization.

27383616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14817 (or 14803 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

It can be divided in two parts, 273836 and 16256, that added together give a palindrome (290092).

The spelling of 27383616256 in words is "twenty-seven billion, three hundred eighty-three million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 71 103 128 142 206 256 284 412 568 824 1136 1648 2272 3296 4544 6592 7313 9088 13184 14626 14627 18176 26368 29252 29254 58504 58508 117008 117016 234016 234032 468032 468064 936064 936128 1038517 1506581 1872128 1872256 2077034 3013162 3744512 4154068 6026324 8308136 12052648 16616272 24105296 33232544 48210592 66465088 96421184 106967251 132930176 192842368 213934502 265860352 385684736 427869004 855738008 1711476016 3422952032 6845904064 13691808128 27383616256