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11264235104 = 256741912539
BaseRepresentation
bin10100111110110011…
…01001011001100000
31002002000122102122202
422133121221121200
5141032121010404
65101423352332
7546065263403
oct123731513140
932060572582
1011264235104
114860404611
1222244526a8
1310a68b2495
1478c013d3a
1545dd8621e
hex29f669660

11264235104 has 48 divisors (see below), whose sum is σ = 22562971200. Its totient is φ = 5534373504.

The previous prime is 11264235089. The next prime is 11264235107. The reversal of 11264235104 is 40153246211.

11264235104 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 (11264235107) 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 7 ways as a sum of consecutive naturals, for example, 892067 + ... + 904605.

It is an arithmetic number, because the mean of its divisors is an integer number (470061900).

Almost surely, 211264235104 is an apocalyptic number.

It is an amenable number.

11264235104 is an abundant number, since it is smaller than the sum of its proper divisors (11298736096).

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

11264235104 is a wasteful number, since it uses less digits than its factorization.

11264235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 11264235104 in words is "eleven billion, two hundred sixty-four million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 67 134 268 419 536 838 1072 1676 2144 3352 6704 12539 13408 25078 28073 50156 56146 100312 112292 200624 224584 401248 449168 840113 898336 1680226 3360452 5253841 6720904 10507682 13441808 21015364 26883616 42030728 84061456 168122912 352007347 704014694 1408029388 2816058776 5632117552 11264235104