Search a number
-
+
42841777532060 = 225131135683256589
BaseRepresentation
bin10011011110110111000001…
…11011100110110010011100
312121200122010010201010100102
421233123200323212302130
521103404430022011220
6231041124011120232
712011134120363613
oct1157334073466234
9177618103633312
1042841777532060
1112718106596851
12497b034743078
131ab9c681b2270
14a817a59a687a
154e462da8e775
hex26f6e0ee6c9c

42841777532060 has 96 divisors (see below), whose sum is σ = 97763327161920. Its totient is φ = 15675695788032.

The previous prime is 42841777532023. The next prime is 42841777532083. The reversal of 42841777532060 is 6023577714824.

It is a junction number, because it is equal to n+sod(n) for n = 42841777531987 and 42841777532005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166838246 + ... + 167094834.

It is an arithmetic number, because the mean of its divisors is an integer number (1018367991270).

Almost surely, 242841777532060 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 42841777532060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881663580960).

42841777532060 is an abundant number, since it is smaller than the sum of its proper divisors (54921549629860).

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

42841777532060 is a wasteful number, since it uses less digits than its factorization.

42841777532060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262407 (or 262405 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 42841777532060 in words is "forty-two trillion, eight hundred forty-one billion, seven hundred seventy-seven million, five hundred thirty-two thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5683 5876 7345 11366 14690 22732 28415 29380 56830 73879 113660 147758 256589 295516 369395 513178 642179 738790 1026356 1282945 1284358 1477580 2565890 2568716 3210895 3335657 5131780 6421790 6671314 8348327 12843580 13342628 16678285 16696654 28994557 33356570 33393308 41741635 57989114 66713140 83483270 115978228 144972785 166966540 289945570 376929241 579891140 753858482 1458195287 1507716964 1884646205 2916390574 3769292410 5832781148 7290976435 7538584820 14581952870 18956538731 29163905740 37913077462 75826154924 94782693655 164776067431 189565387310 329552134862 379130774620 659104269724 823880337155 1647760674310 2142088876603 3295521348620 4284177753206 8568355506412 10710444383015 21420888766030 42841777532060