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12566672352 = 253213219107127
BaseRepresentation
bin10111011010000100…
…00011001111100000
31012102210102002200100
423231002003033200
5201214032003402
65434551222400
7623261644503
oct135502031740
935383362610
1012566672352
115369616a33
122528677a00
131253691900
14872dab13a
154d83a871c
hex2ed0833e0

12566672352 has 432 divisors, whose sum is σ = 41437992960. Its totient is φ = 3600350208.

The previous prime is 12566672351. The next prime is 12566672359. The reversal of 12566672352 is 25327666521.

It is a junction number, because it is equal to n+sod(n) for n = 12566672298 and 12566672307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12566672351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98950113 + ... + 98950239.

It is an arithmetic number, because the mean of its divisors is an integer number (95921280).

Almost surely, 212566672352 is an apocalyptic number.

12566672352 is a gapful number since it is divisible by the number (12) 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 12566672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718996480).

12566672352 is an abundant number, since it is smaller than the sum of its proper divisors (28871320608).

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

12566672352 is a wasteful number, since it uses less digits than its factorization.

12566672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 12566672352 in words is "twelve billion, five hundred sixty-six million, six hundred seventy-two thousand, three hundred fifty-two".