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11244535050 = 2352730734883
BaseRepresentation
bin10100111100011100…
…11111110100001010
31002000122120120021010
422132032133310022
5141012100110200
65055441224350
7545435654010
oct123616376412
932018516233
1011244535050
114850279681
1222199320b6
1310a27a5748
147895668b0
1545c294150
hex29e39fd0a

11244535050 has 96 divisors (see below), whose sum is σ = 31974953472. Its totient is φ = 2561734080.

The previous prime is 11244535039. The next prime is 11244535051. The reversal of 11244535050 is 5053544211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11244534999 and 11244535017.

It is not an unprimeable number, because it can be changed into a prime (11244535051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304909 + ... + 339791.

It is an arithmetic number, because the mean of its divisors is an integer number (333072432).

Almost surely, 211244535050 is an apocalyptic number.

11244535050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244535050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987476736).

11244535050 is an abundant number, since it is smaller than the sum of its proper divisors (20730418422).

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

11244535050 is a wasteful number, since it uses less digits than its factorization.

11244535050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212 (or 35207 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 11244535050 in words is "eleven billion, two hundred forty-four million, five hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 307 350 525 614 921 1050 1535 1842 2149 3070 4298 4605 6447 7675 9210 10745 12894 15350 21490 23025 32235 34883 46050 53725 64470 69766 104649 107450 161175 174415 209298 244181 322350 348830 488362 523245 732543 872075 1046490 1220905 1465086 1744150 2441810 2616225 3662715 5232450 6104525 7325430 10709081 12209050 18313575 21418162 32127243 36627150 53545405 64254486 74963567 107090810 149927134 160636215 224890701 267727025 321272430 374817835 449781402 535454050 749635670 803181075 1124453505 1606362150 1874089175 2248907010 3748178350 5622267525 11244535050