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42600920166 = 234727967933
BaseRepresentation
bin100111101011001101…
…100111010001100110
311001221221010222020000
4213223031213101212
51144221313421131
631323125322130
73035455563300
oct475315472146
9131857128200
1042600920166
1117081121942
12830ab66346
13402bb8828c
1420c1bac970
151194ee9ce6
hex9eb367466

42600920166 has 120 divisors (see below), whose sum is σ = 112449791520. Its totient is φ = 12017442528.

The previous prime is 42600920123. The next prime is 42600920203. The reversal of 42600920166 is 66102900624.

42600920166 is a `hidden beast` number, since 42 + 600 + 9 + 2 + 0 + 1 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42600920166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 593136 + ... + 661068.

It is an arithmetic number, because the mean of its divisors is an integer number (937081596).

Almost surely, 242600920166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42600920166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56224895760).

42600920166 is an abundant number, since it is smaller than the sum of its proper divisors (69848871354).

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

42600920166 is a wasteful number, since it uses less digits than its factorization.

42600920166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68040 (or 68024 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 42600920166 in words is "forty-two billion, six hundred million, nine hundred twenty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 81 98 126 147 158 162 189 237 294 378 441 474 553 567 711 882 1106 1134 1323 1422 1659 2133 2646 3318 3871 3969 4266 4977 6399 7742 7938 9954 11613 12798 14931 23226 29862 34839 44793 67933 69678 89586 104517 135866 203799 209034 313551 407598 475531 611397 627102 951062 1222794 1426593 1834191 2853186 3328717 3668382 4279779 5366707 5502573 6657434 8559558 9986151 10733414 11005146 12839337 16100121 19972302 25678674 29958453 32200242 37566949 38518011 48300363 59916906 75133898 77036022 89875359 96600726 112700847 144901089 179750718 225401694 262968643 269626077 289802178 338102541 434703267 525937286 539252154 676205082 788905929 869406534 1014307623 1577811858 2028615246 2366717787 3042922869 4733435574 6085845738 7100153361 14200306722 21300460083 42600920166