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12196565082 = 23213197337579
BaseRepresentation
bin10110101101111100…
…01101000001011010
31011110222222200221200
423112332031001122
5144434310040312
65334130415030
7611146043532
oct132676150132
934428880850
1012196565082
115199708959
122444731476
1311c4ab8520
14839b884c2
154b5b4c0dc
hex2d6f8d05a

12196565082 has 96 divisors (see below), whose sum is σ = 30367646400. Its totient is φ = 3506478336.

The previous prime is 12196565053. The next prime is 12196565089. The reversal of 12196565082 is 28056569121.

12196565082 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 6 + 565 + 0 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (12196565089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305769 + ... + 343347.

It is an arithmetic number, because the mean of its divisors is an integer number (316329650).

Almost surely, 212196565082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12196565082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183823200).

12196565082 is an abundant number, since it is smaller than the sum of its proper divisors (18171081318).

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

12196565082 is a wasteful number, since it uses less digits than its factorization.

12196565082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37692 (or 37689 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12196565082 in words is "twelve billion, one hundred ninety-six million, five hundred sixty-five thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 73 78 114 117 146 171 219 234 247 342 438 494 657 741 949 1314 1387 1482 1898 2223 2774 2847 4161 4446 5694 8322 8541 12483 17082 18031 24966 36062 37579 54093 75158 108186 112737 162279 225474 324558 338211 488527 676422 714001 977054 1428002 1465581 2142003 2743267 2931162 4284006 4396743 5486534 6426009 8229801 8793486 9282013 12852018 16459602 18564026 24689403 27846039 35662471 49378806 52122073 55692078 71324942 83538117 104244146 106987413 156366219 167076234 213974826 312732438 320962239 469098657 641924478 677586949 938197314 1355173898 2032760847 4065521694 6098282541 12196565082