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12652333056 = 211331123161
BaseRepresentation
bin10111100100010001…
…10100100000000000
31012122202121010002000
423302020310200000
5201402444124211
65451251224000
7625352025246
oct136210644000
935582533060
1012652333056
115402a04100
1225512a8000
13126835470c
14880508796
154e0b79656
hex2f2234800

12652333056 has 576 divisors, whose sum is σ = 43222233600. Its totient is φ = 3649536000.

The previous prime is 12652333027. The next prime is 12652333091. The reversal of 12652333056 is 65033325621.

12652333056 is a `hidden beast` number, since 126 + 523 + 3 + 3 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12652333056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207415266 + ... + 207415326.

It is an arithmetic number, because the mean of its divisors is an integer number (75038600).

Almost surely, 212652333056 is an apocalyptic number.

12652333056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12652333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611116800).

12652333056 is an abundant number, since it is smaller than the sum of its proper divisors (30569900544).

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

12652333056 is a wasteful number, since it uses less digits than its factorization.

12652333056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 12652333056 its reverse (65033325621), we get a palindrome (77685658677).

The spelling of 12652333056 in words is "twelve billion, six hundred fifty-two million, three hundred thirty-three thousand, fifty-six".