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12006210524 = 2271167581809
BaseRepresentation
bin10110010111010000…
…00011101111011100
31010222201210200120212
423023220003233130
5144042042214044
65303210431552
7603345051140
oct131350035734
933881720525
1012006210524
115101213740
1223b0a325b8
13119452a5a9
1481c797220
154a409aa9e
hex2cba03bdc

12006210524 has 48 divisors (see below), whose sum is σ = 26586389760. Its totient is φ = 4607919360.

The previous prime is 12006210521. The next prime is 12006210529. The reversal of 12006210524 is 42501260021.

Adding to 12006210524 its reverse (42501260021), we get a palindrome (54507470545).

It is a happy number.

It is a super-3 number, since 3×120062105243 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12006210524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006210521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270269 + ... + 311540.

It is an arithmetic number, because the mean of its divisors is an integer number (553883120).

Almost surely, 212006210524 is an apocalyptic number.

12006210524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12006210524 is an abundant number, since it is smaller than the sum of its proper divisors (14580179236).

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

12006210524 is a wasteful number, since it uses less digits than its factorization.

12006210524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581898 (or 581896 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 12006210524 in words is "twelve billion, six million, two hundred ten thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 268 308 469 737 938 1474 1876 2948 5159 10318 20636 581809 1163618 2327236 4072663 6399899 8145326 12799798 16290652 25599596 38981203 44799293 77962406 89598586 155924812 179197172 272868421 428793233 545736842 857586466 1091473684 1715172932 3001552631 6003105262 12006210524