Search a number
-
+
42722688990780 = 223258310327763279
BaseRepresentation
bin10011011011011001001101…
…01100110111111000111100
312121021020201122121102011100
421231230212230313320330
521044432031340201110
6230510310554253100
711666420026443351
oct1155544654677074
9177236648542140
1042722688990780
11126816551800a7
12495bb3a127190
131aab969aa40a6
14a79b09720628
154e14adb2abc0
hex26db26b37e3c

42722688990780 has 144 divisors (see below), whose sum is σ = 132426847687680. Its totient is φ = 11146178745216.

The previous prime is 42722688990769. The next prime is 42722688990799. The reversal of 42722688990780 is 8709988622724.

42722688990780 is a `hidden beast` number, since 4 + 272 + 268 + 8 + 9 + 90 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×427226889907802 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42722688990699 and 42722688990708.

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, 12342820 + ... + 15420459.

It is an arithmetic number, because the mean of its divisors is an integer number (919630886720).

Almost surely, 242722688990780 is an apocalyptic number.

It is an amenable number.

42722688990780 is an abundant number, since it is smaller than the sum of its proper divisors (89704158696900).

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

42722688990780 is a wasteful number, since it uses less digits than its factorization.

42722688990780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27763480 (or 27763475 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 42722688990780 in words is "forty-two trillion, seven hundred twenty-two billion, six hundred eighty-eight million, nine hundred ninety thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 103 166 180 206 249 309 332 412 415 498 515 618 747 830 927 996 1030 1236 1245 1494 1545 1660 1854 2060 2490 2988 3090 3708 3735 4635 4980 6180 7470 8549 9270 14940 17098 18540 25647 34196 42745 51294 76941 85490 102588 128235 153882 170980 256470 307764 384705 512940 769410 1538820 27763279 55526558 83289837 111053116 138816395 166579674 249869511 277632790 333159348 416449185 499739022 555265580 832898370 999478044 1249347555 1665796740 2304352157 2498695110 2859617737 4608704314 4997390220 5719235474 6913056471 8578853211 9217408628 11438470948 11521760785 13826112942 14298088685 17157706422 20739169413 23043521570 25736559633 27652225884 28596177370 34315412844 34565282355 41478338826 42894266055 46087043140 51473119266 57192354740 69130564710 82956677652 85788532110 102946238532 103695847065 128682798165 138261129420 171577064220 207391694130 237348272171 257365596330 414783388260 474696544342 514731192660 712044816513 949393088684 1186741360855 1424089633026 2136134449539 2373482721710 2848179266052 3560224082565 4272268899078 4746965443420 7120448165130 8544537798156 10680672247695 14240896330260 21361344495390 42722688990780