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11266292226 = 237793539619
BaseRepresentation
bin10100111111000010…
…11111101000000010
31002002011111221111110
422133201133220002
5141033132322401
65101535424150
7546121622010
oct123741375002
932064457443
1011266292226
11486158a112
122225085056
1310a7152907
1478c3cb8b0
1545e1409d6
hex29f85fa02

11266292226 has 64 divisors (see below), whose sum is σ = 26154086400. Its totient is φ = 3168861696.

The previous prime is 11266292221. The next prime is 11266292227. The reversal of 11266292226 is 62229266211.

11266292226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×112662922264 (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11266292221) 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, 1166445 + ... + 1176063.

It is an arithmetic number, because the mean of its divisors is an integer number (408657600).

Almost surely, 211266292226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266292226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077043200).

11266292226 is an abundant number, since it is smaller than the sum of its proper divisors (14887794174).

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

11266292226 is a wasteful number, since it uses less digits than its factorization.

11266292226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063.

The product of its digits is 62208, while the sum is 39.

The spelling of 11266292226 in words is "eleven billion, two hundred sixty-six million, two hundred ninety-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 353 474 553 706 1059 1106 1659 2118 2471 3318 4942 7413 9619 14826 19238 27887 28857 55774 57714 67333 83661 134666 167322 195209 201999 390418 403998 585627 759901 1171254 1519802 2279703 3395507 4559406 5319307 6791014 10186521 10638614 15957921 20373042 23768549 31915842 47537098 71305647 142611294 268245053 536490106 804735159 1609470318 1877715371 3755430742 5633146113 11266292226