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12278141268 = 22317731674937
BaseRepresentation
bin10110110111101010…
…11001000101010100
31011200200111012102220
423123311121011110
5200121201010033
65350203102340
7613156323141
oct133365310524
934620435386
1012278141268
115230766298
122467b119b0
13120897b163
148469413c8
154bcdb2bb3
hex2dbd59154

12278141268 has 96 divisors (see below), whose sum is σ = 30940164864. Its totient is φ = 3775684608.

The previous prime is 12278141261. The next prime is 12278141269. The reversal of 12278141268 is 86214187221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12278141261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484496 + ... + 2489432.

It is an arithmetic number, because the mean of its divisors is an integer number (322293384).

Almost surely, 212278141268 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 12278141268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470082432).

12278141268 is an abundant number, since it is smaller than the sum of its proper divisors (18662023596).

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

12278141268 is a wasteful number, since it uses less digits than its factorization.

12278141268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5199 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The spelling of 12278141268 in words is "twelve billion, two hundred seventy-eight million, one hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 167 204 219 292 334 438 501 668 876 1002 1241 2004 2482 2839 3723 4937 4964 5678 7446 8517 9874 11356 12191 14811 14892 17034 19748 24382 29622 34068 36573 48764 59244 73146 83929 146292 167858 207247 251787 335716 360401 414494 503574 621741 720802 824479 828988 1007148 1081203 1243482 1441604 1648958 2162406 2473437 2486964 3297916 4324812 4946874 6126817 9893748 12253634 14016143 18380451 24507268 28032286 36760902 42048429 56064572 60186967 73521804 84096858 120373934 168193716 180560901 240747868 361121802 722243604 1023178439 2046356878 3069535317 4092713756 6139070634 12278141268