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12333779808 = 2537223293931
BaseRepresentation
bin10110111110010011…
…01000101101100000
31011211120011221011120
423133021220231200
5200224421423213
65355511412240
7614433253500
oct133711505540
934746157146
1012333779808
11525a108359
122482684080
13121735bb7c
148500a5a00
154c2c03423
hex2df268b60

12333779808 has 288 divisors, whose sum is σ = 40665058560. Its totient is φ = 3253662720.

The previous prime is 12333779767. The next prime is 12333779813. The reversal of 12333779808 is 80897733321.

12333779808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 3135603 + ... + 3139533.

It is an arithmetic number, because the mean of its divisors is an integer number (141198120).

Almost surely, 212333779808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333779808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332529280).

12333779808 is an abundant number, since it is smaller than the sum of its proper divisors (28331278752).

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

12333779808 is a wasteful number, since it uses less digits than its factorization.

12333779808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 12333779808 in words is "twelve billion, three hundred thirty-three million, seven hundred seventy-nine thousand, eight hundred eight".