Search a number
-
+
168645393540 = 2232513142350647
BaseRepresentation
bin1001110100010000001…
…1000111110010000100
3121010022012001122101200
42131010003013302010
510230341210043130
6205250304022500
715120122123121
oct2350403076204
9533265048350
10168645393540
1165581a232a8
1228827001a30
1312b984100c0
14823bbbd748
1545c0970760
hex27440c7c84

168645393540 has 144 divisors (see below), whose sum is σ = 551306316288. Its totient is φ = 41482720512.

The previous prime is 168645393529. The next prime is 168645393541. The reversal of 168645393540 is 45393546861.

168645393540 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 4 + 5 + 3 + 93 + 540 = 666.

It is a super-2 number, since 2×1686453935402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168645393541) 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, 3304497 + ... + 3355143.

Almost surely, 2168645393540 is an apocalyptic number.

168645393540 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 168645393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275653158144).

168645393540 is an abundant number, since it is smaller than the sum of its proper divisors (382660922748).

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

168645393540 is a wasteful number, since it uses less digits than its factorization.

168645393540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52098 (or 52093 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 168645393540 in words is "one hundred sixty-eight billion, six hundred forty-five million, three hundred ninety-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1423 2340 2846 4269 5692 7115 8538 12807 14230 17076 18499 21345 25614 28460 36998 42690 50647 51228 55497 64035 73996 85380 92495 101294 110994 128070 151941 166491 184990 202588 221988 253235 256140 277485 303882 332982 369980 455823 506470 554970 607764 658411 665964 759705 832455 911646 1012940 1109940 1316822 1519410 1664910 1823292 1975233 2279115 2633644 3038820 3292055 3329820 3950466 4558230 5925699 6584110 7900932 9116460 9876165 11851398 13168220 19752330 23702796 29628495 39504660 59256990 72070681 118513980 144141362 216212043 288282724 360353405 432424086 648636129 720706810 864848172 936918853 1081060215 1297272258 1441413620 1873837706 2162120430 2594544516 2810756559 3243180645 3747675412 4324240860 4684594265 5621513118 6486361290 8432269677 9369188530 11243026236 12972722580 14053782795 16864539354 18738377060 28107565590 33729078708 42161348385 56215131180 84322696770 168645393540