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12246205152 = 253181704777
BaseRepresentation
bin10110110011110111…
…00100001011100000
31011121110101200022210
423121323210023200
5200040012031102
65343102402120
7612321012006
oct133173441340
934543350283
1012246205152
115214733205
122459290340
131202178b4c
148425caa76
154ba1a536c
hex2d9ee42e0

12246205152 has 48 divisors (see below), whose sum is σ = 32323938192. Its totient is φ = 4059509760.

The previous prime is 12246205117. The next prime is 12246205163. The reversal of 12246205152 is 25150264221.

12246205152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 335013 + ... + 369764.

It is an arithmetic number, because the mean of its divisors is an integer number (673415379).

Almost surely, 212246205152 is an apocalyptic number.

12246205152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12246205152 is an abundant number, since it is smaller than the sum of its proper divisors (20077733040).

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

12246205152 is a wasteful number, since it uses less digits than its factorization.

12246205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704971 (or 704963 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12246205152 its reverse (25150264221), we get a palindrome (37396469373).

The spelling of 12246205152 in words is "twelve billion, two hundred forty-six million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5792 8688 17376 704777 1409554 2114331 2819108 4228662 5638216 8457324 11276432 16914648 22552864 33829296 67658592 127564637 255129274 382693911 510258548 765387822 1020517096 1530775644 2041034192 3061551288 4082068384 6123102576 12246205152