Search a number
-
+
11125110948 = 2237236194399
BaseRepresentation
bin10100101110001101…
…11011100010100100
31001201022212012012020
422113012323202210
5140241012022243
65035533423140
7542455611540
oct122706734244
931638765166
1011125110948
114799920576
1221a593aab0
131083b209b3
1477775aa20
15451a54283
hex2971bb8a4

11125110948 has 96 divisors (see below), whose sum is σ = 31464652800. Its totient is φ = 2990528640.

The previous prime is 11125110943. The next prime is 11125110959. The reversal of 11125110948 is 84901152111.

11125110948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11125110943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70653 + ... + 165051.

It is an arithmetic number, because the mean of its divisors is an integer number (327756800).

Almost surely, 211125110948 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 11125110948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732326400).

11125110948 is an abundant number, since it is smaller than the sum of its proper divisors (20339541852).

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

11125110948 is a wasteful number, since it uses less digits than its factorization.

11125110948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94497 (or 94495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 33.

The spelling of 11125110948 in words is "eleven billion, one hundred twenty-five million, one hundred ten thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 61 69 84 92 122 138 161 183 244 276 322 366 427 483 644 732 854 966 1281 1403 1708 1932 2562 2806 4209 5124 5612 8418 9821 16836 19642 29463 39284 58926 94399 117852 188798 283197 377596 566394 660793 1132788 1321586 1982379 2171177 2643172 3964758 4342354 5758339 6513531 7929516 8684708 11516678 13027062 15198239 17275017 23033356 26054124 30396478 34550034 40308373 45594717 60792956 69100068 80616746 91189434 120925119 132441797 161233492 182378868 241850238 264883594 397325391 483700476 529767188 794650782 927092579 1589301564 1854185158 2781277737 3708370316 5562555474 11125110948