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12303089568 = 25337111011831
BaseRepresentation
bin10110111010101001…
…00011111110100000
31011202102102201002000
423131110203332200
5200144042331233
65352453524000
7613611351540
oct133524437640
934672381060
1012303089568
115243856320
122474343600
131210ba4973
14849d97320
154c018ed13
hex2dd523fa0

12303089568 has 384 divisors, whose sum is σ = 45206138880. Its totient is φ = 3162240000.

The previous prime is 12303089549. The next prime is 12303089611. The reversal of 12303089568 is 86598030321.

It is a happy number.

12303089568 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 0 + 89 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6718413 + ... + 6720243.

It is an arithmetic number, because the mean of its divisors is an integer number (117724320).

Almost surely, 212303089568 is an apocalyptic number.

12303089568 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 12303089568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22603069440).

12303089568 is an abundant number, since it is smaller than the sum of its proper divisors (32903049312).

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

12303089568 is a wasteful number, since it uses less digits than its factorization.

12303089568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12303089568 in words is "twelve billion, three hundred three million, eighty-nine thousand, five hundred sixty-eight".