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12322747008 = 273211131931127
BaseRepresentation
bin10110111100111111…
…00011001010000000
31011210210102102000100
423132133203022000
5200214110401013
65354435122400
7614240423055
oct133637431200
934723372010
1012322747008
115253962240
12247aa43400
131214c981a0
1484c83302c
154c1c74473
hex2de7e3280

12322747008 has 768 divisors, whose sum is σ = 45622886400. Its totient is φ = 3135283200.

The previous prime is 12322746967. The next prime is 12322747037. The reversal of 12322747008 is 80074722321.

12322747008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 97029441 + ... + 97029567.

It is an arithmetic number, because the mean of its divisors is an integer number (59404800).

Almost surely, 212322747008 is an apocalyptic number.

12322747008 is a gapful number since it is divisible by the number (18) 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 12322747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811443200).

12322747008 is an abundant number, since it is smaller than the sum of its proper divisors (33300139392).

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

12322747008 is a wasteful number, since it uses less digits than its factorization.

12322747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12322747008 in words is "twelve billion, three hundred twenty-two million, seven hundred forty-seven thousand, eight".