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12260685728 = 256110162189
BaseRepresentation
bin10110110101100101…
…10011011110100000
31011122110122100221102
423122302303132200
5200102213420403
65344341013532
7612555052304
oct133262633640
934573570842
1012260685728
115221923725
1224620b42a8
131205178c35
148444b9d04
154bb5b5b88
hex2dacb37a0

12260685728 has 48 divisors (see below), whose sum is σ = 24777242280. Its totient is φ = 5970048000.

The previous prime is 12260685713. The next prime is 12260685737. The reversal of 12260685728 is 82758606221.

It can be written as a sum of positive squares in 4 ways, for example, as 8181564304 + 4079121424 = 90452^2 + 63868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166058 + ... + 228246.

Almost surely, 212260685728 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 12260685728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388621140).

12260685728 is an abundant number, since it is smaller than the sum of its proper divisors (12516556552).

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

12260685728 is a wasteful number, since it uses less digits than its factorization.

12260685728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62361 (or 62353 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 12260685728 in words is "twelve billion, two hundred sixty million, six hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 101 122 202 244 404 488 808 976 1616 1952 3232 6161 12322 24644 49288 62189 98576 124378 197152 248756 497512 995024 1990048 3793529 6281089 7587058 12562178 15174116 25124356 30348232 50248712 60696464 100497424 121392928 200994848 383146429 766292858 1532585716 3065171432 6130342864 12260685728