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18642421029969 = 34112436132
BaseRepresentation
bin1000011110100100001101…
…11000100001110001010001
32110000012100101010022110000
410033102012320201301101
54420414134240424334
6103352113205200213
73632604400125012
oct417220670416121
973005311108400
1018642421029969
115a3822a734500
122111039100069
13a52c851cc239
14486425995009
15224deb03a299
hex10f486e21c51

18642421029969 has 45 divisors (see below), whose sum is σ = 30611096904619. Its totient is φ = 11298177926640.

The previous prime is 18642421029919. The next prime is 18642421029977. The reversal of 18642421029969 is 96992012424681.

The square root of 18642421029969 is 4317687.

It is a perfect power (a square), and thus also a powerful number.

18642421029969 is a `hidden beast` number, since 1 + 8 + 64 + 2 + 421 + 0 + 2 + 99 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14148919865025 + 4493501164944 = 3761505^2 + 2119788^2 .

It is not a de Polignac number, because 18642421029969 - 211 = 18642421027921 is a prime.

It is a super-2 number, since 2×186424210299692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18642421029919) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 427429207 + ... + 427472819.

Almost surely, 218642421029969 is an apocalyptic number.

18642421029969 is the 4317687-th square number.

18642421029969 is the 2158844-th centered octagonal number.

It is an amenable number.

18642421029969 is a deficient number, since it is larger than the sum of its proper divisors (11968675874650).

18642421029969 is an frugal number, since it uses more digits than its factorization.

18642421029969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87260 (or 43627 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 18642421029969 in words is "eighteen trillion, six hundred forty-two billion, four hundred twenty-one million, twenty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 43613 130839 392517 479743 1177551 1439229 3532653 4317687 5277173 12953061 15831519 38859183 47494557 142483671 427451013 1902093769 5706281307 17118843921 20923031459 51356531763 62769094377 154069595289 188307283131 230153346049 564921849393 690460038147 1694765548179 2071380114441 6214140343323 18642421029969