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12241186993568 = 2513181116248443
BaseRepresentation
bin1011001000100001111110…
…0110100011010110100000
31121100020122100221211212002
42302020133212203112200
53101024422332243233
642011305040223132
72402253011434661
oct262103746432640
947306570854762
1012241186993568
11399a504a26965
12145851090aaa8
136aa453980670
14304695b73368
1516364c1986e8
hexb221f9a35a0

12241186993568 has 48 divisors (see below), whose sum is σ = 25968003225696. Its totient is φ = 5646658563840.

The previous prime is 12241186993561. The next prime is 12241186993573. The reversal of 12241186993568 is 86539968114221.

It is a super-2 number, since 2×122411869935682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12241186993561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7370846 + ... + 8877597.

It is an arithmetic number, because the mean of its divisors is an integer number (541000067202).

Almost surely, 212241186993568 is an apocalyptic number.

It is an amenable number.

12241186993568 is an abundant number, since it is smaller than the sum of its proper divisors (13726816232128).

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

12241186993568 is a wasteful number, since it uses less digits than its factorization.

12241186993568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250277 (or 16250269 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 65.

The spelling of 12241186993568 in words is "twelve trillion, two hundred forty-one billion, one hundred eighty-six million, nine hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1811 3622 7244 14488 23543 28976 47086 57952 94172 188344 376688 753376 16248443 32496886 64993772 129987544 211229759 259975088 422459518 519950176 844919036 1689838072 3379676144 6759352288 29425930273 58851860546 117703721092 235407442184 382537093549 470814884368 765074187098 941629768736 1530148374196 3060296748392 6120593496784 12241186993568