Search a number
-
+
42866102165076 = 223231674491276817
BaseRepresentation
bin10011011111100100010101…
…10010101101111001010100
312121202221220100210111211100
421233302022302231321110
521104304234123240301
6231100225424310100
712012654654350211
oct1157621262557124
9177687810714740
1042866102165076
1112727459178643
1249838a2a72330
131abc343822538
14a82a32388b08
154e50a4308286
hex26fc8acade54

42866102165076 has 144 divisors (see below), whose sum is σ = 113773676889600. Its totient is φ = 13591042375680.

The previous prime is 42866102165063. The next prime is 42866102165113. The reversal of 42866102165076 is 67056120166824.

42866102165076 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 610 + 2 + 16 + 5 + 0 + 7 + 6 = 666.

42866102165076 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32934220 + ... + 34211036.

It is an arithmetic number, because the mean of its divisors is an integer number (790094978400).

Almost surely, 242866102165076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42866102165076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56886838444800).

42866102165076 is an abundant number, since it is smaller than the sum of its proper divisors (70907574724524).

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

42866102165076 is a wasteful number, since it uses less digits than its factorization.

42866102165076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277374 (or 1277369 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42866102165076 in words is "forty-two trillion, eight hundred sixty-six billion, one hundred two million, one hundred sixty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 449 558 603 804 898 1116 1206 1347 1796 2077 2412 2694 4041 4154 5388 6231 8082 8308 12462 13919 16164 18693 24924 27838 30083 37386 41757 55676 60166 74772 83514 90249 120332 125271 167028 180498 250542 270747 360996 501084 541494 932573 1082988 1276817 1865146 2553634 2797719 3730292 3830451 5107268 5595438 7660902 8393157 11190876 11491353 15321804 16786314 22982706 33572628 39581327 45965412 79162654 85546739 118743981 158325308 171093478 237487962 256640217 342186956 356231943 474975924 513280434 573290833 712463886 769920651 1026560868 1146581666 1424927772 1539841302 1719872499 2293163332 2651948909 3079682604 3439744998 5159617497 5303897818 6879489996 7955846727 10319234994 10607795636 15911693454 17772015823 20638469988 23867540181 31823386908 35544031646 38410485811 47735080362 53316047469 71088063292 76820971622 95470160724 106632094938 115231457433 153641943244 159948142407 213264189876 230462914866 319896284814 345694372299 460925829732 639792569628 691388744598 1190725060141 1382777489196 2381450120282 3572175180423 4762900240564 7144350360846 10716525541269 14288700721692 21433051082538 42866102165076