Search a number
-
+
11441605212 = 22331936715193
BaseRepresentation
bin10101010011111100…
…10000101001011100
31002112101101202201000
422221332100221130
5141413022331322
65131201150300
7553351016412
oct125176205134
932471352630
1011441605212
114941540384
12227392b390
1311045752cb
147a77c52b2
1546e7203ac
hex2a9f90a5c

11441605212 has 96 divisors (see below), whose sum is σ = 31311795200. Its totient is φ = 3603056256.

The previous prime is 11441605177. The next prime is 11441605261. The reversal of 11441605212 is 21250614411.

11441605212 is a `hidden beast` number, since 1 + 1 + 4 + 41 + 605 + 2 + 12 = 666.

11441605212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 745488 + ... + 760680.

Almost surely, 211441605212 is an apocalyptic number.

11441605212 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 11441605212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655897600).

11441605212 is an abundant number, since it is smaller than the sum of its proper divisors (19870189988).

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

11441605212 is a wasteful number, since it uses less digits than its factorization.

11441605212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15584 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11441605212 in words is "eleven billion, four hundred forty-one million, six hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 367 513 684 734 1026 1101 1468 2052 2202 3303 4404 6606 6973 9909 13212 13946 15193 19818 20919 27892 30386 39636 41838 45579 60772 62757 83676 91158 125514 136737 182316 188271 251028 273474 288667 376542 410211 546948 577334 753084 820422 866001 1154668 1640844 1732002 2598003 3464004 5196006 5575831 7794009 10392012 11151662 15588018 16727493 22303324 31176036 33454986 50182479 66909972 100364958 105940789 150547437 200729916 211881578 301094874 317822367 423763156 602189748 635644734 953467101 1271289468 1906934202 2860401303 3813868404 5720802606 11441605212