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11269316828 = 22711299713007
BaseRepresentation
bin10100111111011010…
…00010000011011100
31002002101012121110202
422133231002003130
5141034421114303
65102124323032
7546156420050
oct123755020334
932071177422
1011269316828
114863265590
1222260a3478
1310a7971513
1478c977c60
1545e53bc88
hex29fb420dc

11269316828 has 96 divisors (see below), whose sum is σ = 25699645440. Its totient is φ = 4195215360.

The previous prime is 11269316827. The next prime is 11269316833. The reversal of 11269316828 is 82861396211.

It is a happy number.

11269316828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269316827) 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, 859901 + ... + 872907.

It is an arithmetic number, because the mean of its divisors is an integer number (267704640).

Almost surely, 211269316828 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 11269316828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849822720).

11269316828 is an abundant number, since it is smaller than the sum of its proper divisors (14430328612).

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

11269316828 is a wasteful number, since it uses less digits than its factorization.

11269316828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13153 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The spelling of 11269316828 in words is "eleven billion, two hundred sixty-nine million, three hundred sixteen thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 97 116 154 194 203 308 319 388 406 638 679 812 1067 1276 1358 2134 2233 2716 2813 4268 4466 5626 7469 8932 11252 13007 14938 19691 26014 29876 30943 39382 52028 61886 78764 91049 123772 143077 182098 216601 286154 364196 377203 433202 572308 754406 866404 1001539 1261679 1508812 2003078 2523358 2640421 4006156 4149233 5046716 5280842 8298466 8831753 10561684 13878469 16596932 17663506 27756938 29044631 35327012 36588691 55513876 58089262 73177382 97149283 116178524 146354764 194298566 256120837 388597132 402475601 512241674 804951202 1024483348 1609902404 2817329207 5634658414 11269316828