Search a number
-
+
211930320004620 = 223573499144211489
BaseRepresentation
bin110000001011111111011111…
…011100001110011000001100
31000210101100012101111122022020
4300023333133130032120030
5210234231243410121440
62030423240035250140
762432313616205460
oct6013773734163014
91023340171448266
10211930320004620
11615891646a3308
121b929623449950
139133c35917469
143a496a72ca4a0
151977bd9a103d0
hexc0bfdf70e60c

211930320004620 has 96 divisors (see below), whose sum is σ = 678370848960000. Its totient is φ = 48427371362304.

The previous prime is 211930320004603. The next prime is 211930320004657. The reversal of 211930320004620 is 26400023039112.

It is a super-3 number, since 3×2119303200046203 (a number of 44 digits) contains 333 as substring.

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, 70636165 + ... + 73575324.

It is an arithmetic number, because the mean of its divisors is an integer number (7066363010000).

Almost surely, 2211930320004620 is an apocalyptic number.

211930320004620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211930320004620 is an abundant number, since it is smaller than the sum of its proper divisors (466440528955380).

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

211930320004620 is a wasteful number, since it uses less digits than its factorization.

211930320004620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144215007 (or 144215005 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 211930320004620 in words is "two hundred eleven trillion, nine hundred thirty billion, three hundred twenty million, four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3499 6998 10497 13996 17495 20994 24493 34990 41988 48986 52485 69980 73479 97972 104970 122465 146958 209940 244930 293916 367395 489860 734790 1469580 144211489 288422978 432634467 576845956 721057445 865268934 1009480423 1442114890 1730537868 2018960846 2163172335 2884229780 3028441269 4037921692 4326344670 5047402115 6056882538 8652689340 10094804230 12113765076 15142206345 20189608460 30284412690 60568825380 504596000011 1009192000022 1513788000033 2018384000044 2522980000055 3027576000066 3532172000077 5045960000110 6055152000132 7064344000154 7568940000165 10091920000220 10596516000231 14128688000308 15137880000330 17660860000385 21193032000462 30275760000660 35321720000770 42386064000924 52982580001155 70643440001540 105965160002310 211930320004620