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11226790116 = 2232311855281
BaseRepresentation
bin10100111010010101…
…10011100011100100
31001222102012000210100
422131022303203210
5140443024240431
65054005024100
7545132066343
oct123512634344
931872160710
1011226790116
114841259643
1222139b5030
13109bc01899
14787067b5a
1545a93b4e6
hex29d2b38e4

11226790116 has 18 divisors (see below), whose sum is σ = 28378830662. Its totient is φ = 3742263360.

The previous prime is 11226790111. The next prime is 11226790139. The reversal of 11226790116 is 61109762211.

11226790116 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., 10749542400 + 477247716 = 103680^2 + 21846^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 311855281 = 11226790116 / (1 + 1 + 2 + 2 + 6 + 7 + 9 + 0 + 1 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (11226790111) 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 5 ways as a sum of consecutive naturals, for example, 155927605 + ... + 155927676.

Almost surely, 211226790116 is an apocalyptic number.

It is an amenable number.

11226790116 is an abundant number, since it is smaller than the sum of its proper divisors (17152040546).

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

11226790116 is a wasteful number, since it uses less digits than its factorization.

11226790116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311855291 (or 311855286 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11226790116 in words is "eleven billion, two hundred twenty-six million, seven hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 311855281 623710562 935565843 1247421124 1871131686 2806697529 3742263372 5613395058 11226790116