Search a number
-
+
168482260030840 = 235718119317225041
BaseRepresentation
bin100110010011101111010101…
…010000101001010101111000
3211002112202011101102100120221
4212103233111100221111320
5134040403132031441330
61354155403131225424
750326304316005110
oct4623572520512570
9732482141370527
10168482260030840
1149757a1a511578
1216a90ba7ba8274
137301a6934b082
142d86828d4c040
1514729247c8b7a
hex993bd5429578

168482260030840 has 128 divisors (see below), whose sum is σ = 437890883713920. Its totient is φ = 57148548710400.

The previous prime is 168482260030837. The next prime is 168482260030841. The reversal of 168482260030840 is 48030062284861.

168482260030840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1684822600308402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168482260030841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168720 + ... + 18393760.

It is an arithmetic number, because the mean of its divisors is an integer number (3421022529015).

Almost surely, 2168482260030840 is an apocalyptic number.

168482260030840 is a gapful number since it is divisible by the number (10) 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 168482260030840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218945441856960).

168482260030840 is an abundant number, since it is smaller than the sum of its proper divisors (269408623683080).

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

168482260030840 is a wasteful number, since it uses less digits than its factorization.

168482260030840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17225433 (or 17225429 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 52.

The spelling of 168482260030840 in words is "one hundred sixty-eight trillion, four hundred eighty-two billion, two hundred sixty million, thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 193 280 362 386 724 772 905 965 1267 1351 1448 1544 1810 1930 2534 2702 3620 3860 5068 5404 6335 6755 7240 7720 10136 10808 12670 13510 25340 27020 34933 50680 54040 69866 139732 174665 244531 279464 349330 489062 698660 978124 1222655 1397320 1956248 2445310 4890620 9781240 17225041 34450082 68900164 86125205 120575287 137800328 172250410 241150574 344500820 482301148 602876435 689001640 964602296 1205752870 2411505740 3117732421 3324432913 4823011480 6235464842 6648865826 12470929684 13297731652 15588662105 16622164565 21824126947 23271030391 24941859368 26595463304 31177324210 33244329130 43648253894 46542060782 62354648420 66488658260 87296507788 93084121564 109120634735 116355151955 124709296840 132977316520 174593015576 186168243128 218241269470 232710303910 436482538940 465420607820 601722357253 872965077880 930841215640 1203444714506 2406889429012 3008611786265 4212056500771 4813778858024 6017223572530 8424113001542 12034447145060 16848226003084 21060282503855 24068894290120 33696452006168 42120565007710 84241130015420 168482260030840