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22016304426042 = 234317988162989
BaseRepresentation
bin1010000000110000100100…
…00000010010110000111010
32212221201221002222000110000
411000120102000102300322
510341203342413113132
6114454052311333430
74431424355612523
oct500302200226072
985851832860400
1022016304426042
117019075980493
122576aa7981276
13c391896bb884
1456184828584a
15282a6443e87c
hex140612012c3a

22016304426042 has 160 divisors (see below), whose sum is σ = 51628176230400. Its totient is φ = 7004064038400.

The previous prime is 22016304426029. The next prime is 22016304426049. The reversal of 22016304426042 is 24062440361022.

22016304426042 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 3 + 0 + 4 + 42 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22016304425988 and 22016304426006.

It is not an unprimeable number, because it can be changed into a prime (22016304426049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349494684 + ... + 349557672.

It is an arithmetic number, because the mean of its divisors is an integer number (322676101440).

Almost surely, 222016304426042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22016304426042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814088115200).

22016304426042 is an abundant number, since it is smaller than the sum of its proper divisors (29611871804358).

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

22016304426042 is a wasteful number, since it uses less digits than its factorization.

22016304426042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63994 (or 63985 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 22016304426042 its reverse (24062440361022), we get a palindrome (46078744787064).

The spelling of 22016304426042 in words is "twenty-two trillion, sixteen billion, three hundred four million, four hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 81 93 158 162 186 237 279 474 558 711 837 881 1422 1674 1762 2133 2449 2511 2643 4266 4898 5022 5286 6399 7347 7929 12798 14694 15858 22041 23787 27311 44082 47574 54622 62989 66123 69599 71361 81933 125978 132246 139198 142722 163866 188967 198369 208797 245799 377934 396738 417594 491598 566901 626391 737397 1133802 1252782 1474794 1700703 1879173 1952659 2157569 2212191 3401406 3758346 3905318 4315138 4424382 4976131 5102109 5637519 5857977 6472707 9952262 10204218 11275038 11715954 12945414 14928393 17573931 19418121 29856786 35147862 38836242 44785179 52721793 55493309 58254363 89570358 105443586 110986618 116508726 134355537 154260061 158165379 166479927 174763089 268711074 308520122 316330758 332959854 349526178 403066611 462780183 499439781 806133222 925560366 998879562 1388340549 1498319343 1720292579 2776681098 2996638686 3440585158 4165021647 4383971411 4494958029 5160877737 8330043294 8767942822 8989916058 10321755474 12495064941 13151914233 15482633211 24990129882 26303828466 30965266422 39455742699 46447899633 78911485398 92895799266 118367228097 135903113741 139343698899 236734456194 271806227482 278687397798 355101684291 407709341223 710203368582 815418682446 1223128023669 2446256047338 3669384071007 7338768142014 11008152213021 22016304426042