Search a number
-
+
11124406402616 = 23132347433228523
BaseRepresentation
bin1010000111100001101001…
…0010101011111000111000
31110101111001000020201211202
42201320122102223320320
52424230241014340431
635354252020313332
72225466106151513
oct241703222537070
943344030221752
1011124406402616
1135a991a446591
1212b7b99242848
136290474a3740
142a65d1bc1d7a
151445884108cb
hexa1e1a4abe38

11124406402616 has 128 divisors (see below), whose sum is σ = 23993484318720. Its totient is φ = 4795495778304.

The previous prime is 11124406402607. The next prime is 11124406402643. The reversal of 11124406402616 is 61620460442111.

It is a self number, because there is not a number n which added to its sum of digits gives 11124406402616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48565331 + ... + 48793853.

It is an arithmetic number, because the mean of its divisors is an integer number (187449096240).

Almost surely, 211124406402616 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 11124406402616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996742159360).

11124406402616 is an abundant number, since it is smaller than the sum of its proper divisors (12869077916104).

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

11124406402616 is a wasteful number, since it uses less digits than its factorization.

11124406402616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229045 (or 229041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

Adding to 11124406402616 its reverse (61620460442111), we get a palindrome (72744866844727).

The spelling of 11124406402616 in words is "eleven trillion, one hundred twenty-four billion, four hundred six million, four hundred two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 23 26 46 47 52 92 94 104 184 188 299 376 433 598 611 866 1081 1196 1222 1732 2162 2392 2444 3464 4324 4888 5629 8648 9959 11258 14053 19918 20351 22516 28106 39836 40702 45032 56212 79672 81404 112424 129467 162808 228523 258934 264563 457046 468073 517868 529126 914092 936146 1035736 1058252 1828184 1872292 2116504 2970799 3744584 5256029 5941598 6084949 10512058 10740581 11883196 12169898 21024116 21481162 23766392 24339796 42048232 42962324 48679592 68328377 85924648 98950459 136656754 139627553 197900918 247033363 273313508 279255106 395801836 494066726 546627016 558510212 791603672 988133452 1117020424 1286355967 1976266904 2275860557 2572711934 3211433719 4551721114 4650671573 5145423868 6422867438 9103442228 9301343146 10290847736 12845734876 18206884456 18602686292 25691469752 29586187241 37205372584 59172374482 60458730449 106965446179 118344748964 120917460898 213930892358 236689497928 241834921796 427861784716 483669843592 855723569432 1390550800327 2781101600654 5562203201308 11124406402616