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11188693225 = 521736977121
BaseRepresentation
bin10100110101110010…
…11110100011101001
31001212202111111200101
422122321132203221
5140403301140400
65050124305401
7544160215603
oct123271364351
931782444611
1011188693225
1148217a8906
1222030a2261
131094053348
14781d8c173
1545741356a
hex29ae5e8e9

11188693225 has 24 divisors (see below), whose sum is σ = 14696133048. Its totient is φ = 8420966400.

The previous prime is 11188693223. The next prime is 11188693247. The reversal of 11188693225 is 52239688111.

It can be written as a sum of positive squares in 12 ways, for example, as 7350147289 + 3838545936 = 85733^2 + 61956^2 .

It is not a de Polignac number, because 11188693225 - 21 = 11188693223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11188693223) 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 23 ways as a sum of consecutive naturals, for example, 1567665 + ... + 1574785.

It is an arithmetic number, because the mean of its divisors is an integer number (612338877).

Almost surely, 211188693225 is an apocalyptic number.

It is an amenable number.

11188693225 is a deficient number, since it is larger than the sum of its proper divisors (3507439823).

11188693225 is a wasteful number, since it uses less digits than its factorization.

11188693225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10840 counting only the distinct ones).

The product of its digits is 207360, while the sum is 46.

The spelling of 11188693225 in words is "eleven billion, one hundred eighty-eight million, six hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 3697 7121 18485 35605 62849 92425 121057 178025 314245 605285 1571225 3026425 26326337 131631685 447547729 658158425 2237738645 11188693225