Search a number
-
+
11168683092 = 22327226923537
BaseRepresentation
bin10100110011011010…
…01001010001010100
31001211100211212221100
422121231021101110
5140333140324332
65044131350100
7543525145200
oct123155112124
931740755840
1011168683092
114811480a06
1221b8452330
13108cb68428
1477d45db00
154557ae67c
hex299b49454

11168683092 has 108 divisors (see below), whose sum is σ = 32964733620. Its totient is φ = 3179054592.

The previous prime is 11168683027. The next prime is 11168683117. The reversal of 11168683092 is 29038686111.

It can be written as a sum of positive squares in 2 ways, for example, as 1974558096 + 9194124996 = 44436^2 + 95886^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462748 + ... + 486284.

It is an arithmetic number, because the mean of its divisors is an integer number (305229015).

Almost surely, 211168683092 is an apocalyptic number.

11168683092 is a gapful number since it is divisible by the number (12) 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 11168683092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482366810).

11168683092 is an abundant number, since it is smaller than the sum of its proper divisors (21796050528).

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

11168683092 is a wasteful number, since it uses less digits than its factorization.

11168683092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23830 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11168683092 in words is "eleven billion, one hundred sixty-eight million, six hundred eighty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 269 294 441 538 588 807 882 1076 1614 1764 1883 2421 3228 3766 4842 5649 7532 9684 11298 13181 16947 22596 23537 26362 33894 39543 47074 52724 67788 70611 79086 94148 118629 141222 158172 164759 211833 237258 282444 329518 423666 474516 494277 659036 847332 988554 1153313 1482831 1977108 2306626 2965662 3459939 4613252 5931324 6331453 6919878 10379817 12662906 13839756 18994359 20759634 25325812 37988718 41519268 44320171 56983077 75977436 88640342 113966154 132960513 177280684 227932308 265921026 310241197 398881539 531842052 620482394 797763078 930723591 1240964788 1595526156 1861447182 2792170773 3722894364 5584341546 11168683092