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12255619688 = 2313893373929
BaseRepresentation
bin10110110100111110…
…11110101001101000
31011122010002222122022
423122133132221220
5200044414312223
65344040244012
7612464022434
oct133237365150
934563088568
1012255619688
115219a83514
122460470608
1312040c4090
1484395b9c4
154bae14ac8
hex2da7dea68

12255619688 has 64 divisors (see below), whose sum is σ = 25105626000. Its totient is φ = 5574868992.

The previous prime is 12255619679. The next prime is 12255619709. The reversal of 12255619688 is 88691655221.

It can be written as a sum of positive squares in 8 ways, for example, as 134050084 + 12121569604 = 11578^2 + 110098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117308 + ... + 3121236.

Almost surely, 212255619688 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 12255619688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552813000).

12255619688 is an abundant number, since it is smaller than the sum of its proper divisors (12850006312).

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

12255619688 is a wasteful number, since it uses less digits than its factorization.

12255619688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4370 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 53.

The spelling of 12255619688 in words is "twelve billion, two hundred fifty-five million, six hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 178 337 356 674 712 1157 1348 2314 2696 3929 4381 4628 7858 8762 9256 15716 17524 29993 31432 35048 51077 59986 102154 119972 204308 239944 349681 389909 408616 699362 779818 1324073 1398724 1559636 2648146 2797448 3119272 4545853 5296292 9091706 10592584 17212949 18183412 34425898 36366824 68851796 117842497 137703592 235684994 471369988 942739976 1531952461 3063904922 6127809844 12255619688