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12041141665 = 572611375881
BaseRepresentation
bin10110011011011010…
…10011110110100001
31011002011112101002211
423031231103312201
5144130013013130
65310455242121
7604251005200
oct131555236641
934064471084
1012041141665
115119a01a53
122400679341
13119b83abc7
1482328b237
154a719aa2a
hex2cdb53da1

12041141665 has 48 divisors (see below), whose sum is σ = 17211626064. Its totient is φ = 8060774400.

The previous prime is 12041141659. The next prime is 12041141687. The reversal of 12041141665 is 56614114021.

It can be written as a sum of positive squares in 8 ways, for example, as 256736529 + 11784405136 = 16023^2 + 108556^2 .

It is not a de Polignac number, because 12041141665 - 27 = 12041141537 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044525 + ... + 2050405.

It is an arithmetic number, because the mean of its divisors is an integer number (358575543).

Almost surely, 212041141665 is an apocalyptic number.

It is an amenable number.

12041141665 is a deficient number, since it is larger than the sum of its proper divisors (5170484399).

12041141665 is a wasteful number, since it uses less digits than its factorization.

12041141665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 12041141665 its reverse (56614114021), we get a palindrome (68655255686).

The spelling of 12041141665 in words is "twelve billion, forty-one million, one hundred forty-one thousand, six hundred sixty-five".

Divisors: 1 5 7 35 49 61 137 245 305 427 685 959 2135 2989 4795 5881 6713 8357 14945 29405 33565 41167 41785 58499 205835 288169 292495 358741 409493 805697 1440845 1793705 2047465 2511187 4028485 5639879 12555935 17578309 28199395 39479153 49147517 87891545 197395765 245737585 344032619 1720163095 2408228333 12041141665