Search a number
-
+
666131250306420 = 223256782966628183
BaseRepresentation
bin1001011101110101111100010…
…0100011000101110101110100
310020100120112012011102122011200
42113131133010203011311310
51144302343300034301140
610320424245523332500
7260211252236144463
oct22735370443056564
93210515164378150
10666131250306420
11183282749879318
1262864847b21130
132278cba46488c2
14ba6ccd2d269da
1552029086e3030
hex25dd7c48c5d74

666131250306420 has 144 divisors (see below), whose sum is σ = 2053230108908160. Its totient is φ = 174772650716928.

The previous prime is 666131250306407. The next prime is 666131250306427. The reversal of 666131250306420 is 24603052131666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666131250306427) 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, 23316352 + ... + 43311831.

Almost surely, 2666131250306420 is an apocalyptic number.

666131250306420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

666131250306420 is an abundant number, since it is smaller than the sum of its proper divisors (1387098858601740).

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

666131250306420 is a wasteful number, since it uses less digits than its factorization.

666131250306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66629094 (or 66629089 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 666131250306420 in words is "six hundred sixty-six trillion, one hundred thirty-one billion, two hundred fifty million, three hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 829 1005 1206 1340 1658 2010 2412 2487 3015 3316 4020 4145 4974 6030 7461 8290 9948 12060 12435 14922 16580 24870 29844 37305 49740 55543 74610 111086 149220 166629 222172 277715 333258 499887 555430 666516 833145 999774 1110860 1666290 1999548 2499435 3332580 4998870 9997740 66628183 133256366 199884549 266512732 333140915 399769098 599653647 666281830 799538196 999422745 1199307294 1332563660 1998845490 2398614588 2998268235 3997690980 4464088261 5996536470 8928176522 11993072940 13392264783 17856353044 22320441305 26784529566 40176794349 44640882610 53569059132 55234763707 66961323915 80353588698 89281765220 110469527414 133922647830 160707177396 165704291121 200883971745 220939054828 267845295660 276173818535 331408582242 401767943490 497112873363 552347637070 662817164484 803535886980 828521455605 994225746726 1104695274140 1657042911210 1988451493452 2485564366815 3314085822420 3700729168369 4971128733630 7401458336738 9942257467260 11102187505107 14802916673476 18503645841845 22204375010214 33306562515321 37007291683690 44408750020428 55510937525535 66613125030642 74014583367380 111021875051070 133226250061284 166532812576605 222043750102140 333065625153210 666131250306420