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16066206117117 = 32136783121320357
BaseRepresentation
bin1110100111001011010010…
…0000100010110011111101
32002212220200112021000200100
43221302310200202303331
54101212042231221432
654100414014551313
73245513364514212
oct351626440426375
962786615230610
1016066206117117
115134704565142
1219758a3b08539
138c706292a940
143d7873b15b09
151ccdbb3cd07c
hexe9cb4822cfd

16066206117117 has 96 divisors (see below), whose sum is σ = 25692915201408. Its totient is φ = 9613584465408.

The previous prime is 16066206117109. The next prime is 16066206117133. The reversal of 16066206117117 is 71171160266061.

16066206117117 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 6 + 20 + 611 + 7 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 16066206117117 - 23 = 16066206117109 is a prime.

It is a super-3 number, since 3×160662061171173 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16066206117317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789212503 + ... + 789232859.

It is an arithmetic number, because the mean of its divisors is an integer number (267634533348).

Almost surely, 216066206117117 is an apocalyptic number.

It is an amenable number.

16066206117117 is a deficient number, since it is larger than the sum of its proper divisors (9626709084291).

16066206117117 is a wasteful number, since it uses less digits than its factorization.

16066206117117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 16066206117117 in words is "sixteen trillion, sixty-six billion, two hundred six million, one hundred seventeen thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 67 83 117 201 249 603 747 871 1079 1213 2613 3237 3639 5561 7839 9711 10917 15769 16683 20357 47307 50049 61071 72293 81271 100679 141921 183213 216879 243813 264641 302037 650637 731439 793923 906111 1056523 1308827 1363919 1689631 2381769 3169569 3926481 4091757 5068893 6745493 9508707 11779443 12275271 15206679 17730947 20236479 21965203 24693041 53192841 60709437 65895609 74079123 87691409 113205277 159578523 197686827 222237369 263074227 321009533 339615831 789222681 963028599 1018847493 1471668601 1654433747 2049522403 2889085797 4415005803 4963301241 6148567209 13245017409 14889903723 18445701627 21507638711 26643791239 64522916133 79931373717 137318001001 193568748399 239794121151 411954003003 1235862009009 1785134013013 5355402039039 16066206117117