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11247238809 = 32232292532
BaseRepresentation
bin10100111100110001…
…10011111010011001
31002000211122221010100
422132120303322121
5141013243120214
65100015210013
7545500644462
oct123630637231
932024587110
1011247238809
114851855a94
12221a816909
1310a32112c1
14789a6bd69
1545c62a309
hex29e633e99

11247238809 has 81 divisors (see below), whose sum is σ = 17927015197. Its totient is φ = 6794179392.

The previous prime is 11247238801. The next prime is 11247238813. The reversal of 11247238809 is 90883274211.

It is a happy number.

The square root of 11247238809 is 106053.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 705699225 + 10541539584 = 26565^2 + 102672^2 .

It is not a de Polignac number, because 11247238809 - 23 = 11247238801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11247238801) 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 80 ways as a sum of consecutive naturals, for example, 212212027 + ... + 212212079.

Almost surely, 211247238809 is an apocalyptic number.

11247238809 is the 106053-rd square number.

11247238809 is the 53027-th centered octagonal number.

It is an amenable number.

11247238809 is a deficient number, since it is larger than the sum of its proper divisors (6679776388).

11247238809 is an equidigital number, since it uses as much as digits as its factorization.

11247238809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11247238809 in words is "eleven billion, two hundred forty-seven million, two hundred thirty-eight thousand, eight hundred nine".

Divisors: 1 3 9 23 29 53 69 87 159 207 261 477 529 667 841 1219 1537 1587 2001 2523 2809 3657 4611 4761 6003 7569 8427 10971 13833 15341 19343 25281 28037 35351 44573 46023 58029 64607 81461 84111 106053 133719 138069 174087 193821 244383 252333 318159 401157 444889 581463 733149 813073 1025179 1334667 1485961 1873603 2362369 2439219 3075537 4004001 4457883 5620809 7087107 7317657 9226611 13373649 16862427 21261321 23579117 43092869 54334487 70737351 129278607 163003461 212212053 387835821 489010383 1249693201 3749079603 11247238809