Search a number
-
+
266054130465660 = 223252698836222781
BaseRepresentation
bin111100011111100110001101…
…111011111111101101111100
31021220000112012210120200202100
4330133212031323333231330
5234333012324344400120
62341503325154425100
7110016530242324215
oct7437461573775574
91256015183520670
10266054130465660
1177855a176a3939
1225a0b0a5b92190
13b55ba488aaca4
14499b13527240c
1520b5a29db6490
hexf1f98deffb7c

266054130465660 has 144 divisors (see below), whose sum is σ = 810948469836960. Its totient is φ = 70603960573440.

The previous prime is 266054130465611. The next prime is 266054130465661. The reversal of 266054130465660 is 66564031450662.

266054130465660 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 5 + 4 + 1 + 30 + 46 + 566 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 266054130465597 and 266054130465606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266054130465661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39643470 + ... + 45866250.

It is an arithmetic number, because the mean of its divisors is an integer number (5631586596090).

Almost surely, 2266054130465660 is an apocalyptic number.

266054130465660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266054130465660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405474234918480).

266054130465660 is an abundant number, since it is smaller than the sum of its proper divisors (544894339371300).

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

266054130465660 is a wasteful number, since it uses less digits than its factorization.

266054130465660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223948 (or 6223943 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 266054130465660 in words is "two hundred sixty-six trillion, fifty-four billion, one hundred thirty million, four hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 883 1076 1345 1614 1766 2421 2649 2690 3228 3532 4035 4415 4842 5298 5380 7947 8070 8830 9684 10596 12105 13245 15894 16140 17660 24210 26490 31788 39735 48420 52980 79470 158940 237527 475054 712581 950108 1187635 1425162 2137743 2375270 2850324 3562905 4275486 4750540 6222781 7125810 8550972 10688715 12445562 14251620 18668343 21377430 24891124 31113905 37336686 42754860 56005029 62227810 74673372 93341715 112010058 124455620 186683430 224020116 280025145 373366860 560050290 1120100580 1673928089 3347856178 5021784267 5494715623 6695712356 8369640445 10043568534 10989431246 15065352801 16484146869 16739280890 20087137068 21978862492 25108921335 27473578115 30130705602 32968293738 33478561780 49452440607 50217842670 54947156230 60261411204 65936587476 75326764005 82420734345 98904881214 100435685340 109894312460 150653528010 164841468690 197809762428 247262203035 301307056020 329682937380 494524406070 989048812140 1478078502587 2956157005174 4434235507761 5912314010348 7390392512935 8868471015522 13302706523283 14780785025870 17736942031044 22171177538805 26605413046566 29561570051740 44342355077610 53210826093132 66513532616415 88684710155220 133027065232830 266054130465660