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11085141796 = 226128632
BaseRepresentation
bin10100101001011100…
…11101011100100100
31001121112122112211021
422110232131130210
5140200244014141
65031545020524
7541462102441
oct122456353444
931545575737
1011085141796
114779301113
122194484744
131078768201
147723149c8
1544d2ab6d1
hex294b9d724

11085141796 has 27 divisors (see below), whose sum is σ = 19745107473. Its totient is φ = 5445391920.

The previous prime is 11085141773. The next prime is 11085141797. The reversal of 11085141796 is 69714158011.

The square root of 11085141796 is 105286.

It is a perfect power (a square), and thus also a powerful number.

11085141796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 360468196 + 10724673600 = 18986^2 + 103560^2 .

It is a super-2 number, since 2×110851417962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11085141797) 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 8 ways as a sum of consecutive naturals, for example, 12844461 + ... + 12845323.

Almost surely, 211085141796 is an apocalyptic number.

11085141796 is the 105286-th square number.

It is an amenable number.

11085141796 is a deficient number, since it is larger than the sum of its proper divisors (8659965677).

11085141796 is an frugal number, since it uses more digits than its factorization.

11085141796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 43.

It can be divided in two parts, 11085 and 141796, that added together give a square (152881 = 3912).

The spelling of 11085141796 in words is "eleven billion, eighty-five million, one hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 4 61 122 244 863 1726 3452 3721 7442 14884 52643 105286 210572 744769 1489538 2979076 3211223 6422446 12844892 45430909 90861818 181723636 2771285449 5542570898 11085141796