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11235857604 = 223231571991303
BaseRepresentation
bin10100111011011010…
…11001010011000100
31002000001020201001020
422131231121103010
5141002334420404
65054531231140
7545302133226
oct123555312304
932001221036
1011235857604
114846392134
122216a484b0
1310a0a57b6a
14788348416
1545b62ced9
hex29db594c4

11235857604 has 96 divisors (see below), whose sum is σ = 27690700800. Its totient is φ = 3539023488.

The previous prime is 11235857557. The next prime is 11235857621. The reversal of 11235857604 is 40675853211.

It is a happy number.

11235857604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 8622417 + ... + 8623719.

It is an arithmetic number, because the mean of its divisors is an integer number (288444800).

Almost surely, 211235857604 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 11235857604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13845350400).

11235857604 is an abundant number, since it is smaller than the sum of its proper divisors (16454843196).

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

11235857604 is a wasteful number, since it uses less digits than its factorization.

11235857604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 11235857604 in words is "eleven billion, two hundred thirty-five million, eight hundred fifty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 157 199 276 314 398 471 597 628 796 942 1194 1303 1884 2388 2606 3611 3909 4577 5212 7222 7818 9154 10833 13731 14444 15636 18308 21666 27462 29969 31243 43332 54924 59938 62486 89907 93729 119876 124972 179814 187458 204571 259297 359628 374916 409142 518594 613713 718589 777891 818284 1037188 1227426 1437178 1555782 2155767 2454852 2874356 3111564 4311534 4705133 5963831 8623068 9410266 11927662 14115399 17891493 18820532 23855324 28230798 35782986 40709629 56461596 71565972 81419258 122128887 162838516 244257774 488515548 936321467 1872642934 2808964401 3745285868 5617928802 11235857604