Search a number
-
+
206201543554032 = 243138920231183527
BaseRepresentation
bin101110111000101000001001…
…110000010111001111110000
31000001002200020002220222000220
4232320220021300113033300
5204011401230122212112
62010315403102213040
761301366321630355
oct5670501160271760
91001080202828026
10206201543554032
115a77a646744994
121b1632a7884180
138b0995066c510
1438cc2ca8d462c
1518c8b96c4a98c
hexbb8a09c173f0

206201543554032 has 160 divisors (see below), whose sum is σ = 580140758615040. Its totient is φ = 62730302638080.

The previous prime is 206201543554001. The next prime is 206201543554043. The reversal of 206201543554032 is 230455345102602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123457053 + ... + 1123640579.

It is an arithmetic number, because the mean of its divisors is an integer number (3625879741344).

Almost surely, 2206201543554032 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 206201543554032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290070379307520).

206201543554032 is an abundant number, since it is smaller than the sum of its proper divisors (373939215061008).

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

206201543554032 is a wasteful number, since it uses less digits than its factorization.

206201543554032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203871 (or 203865 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 206201543554032 its reverse (230455345102602), we get a palindrome (436656888656634).

The spelling of 206201543554032 in words is "two hundred six trillion, two hundred one billion, five hundred forty-three million, five hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 3471 4272 4628 6942 9256 13884 18512 20231 27768 40462 55536 60693 80924 121386 161848 183527 242772 263003 323696 367054 485544 526006 550581 734108 789009 971088 1052012 1101162 1468216 1578018 1800559 2104024 2202324 2385851 2936432 3156036 3601118 4208048 4404648 4771702 5401677 6312072 7157553 7202236 8809296 9543404 10803354 12624144 14315106 14404472 16333903 19086808 21606708 23407267 28630212 28808944 32667806 38173616 43213416 46814534 49001709 57260424 65335612 70221801 86426832 93629068 98003418 114520848 130671224 140443602 187258136 196006836 212340739 261342448 280887204 374516272 392013672 424681478 561774408 637022217 784027344 849362956 1123548816 1274044434 1698725912 2548088868 3397451824 3712934737 5096177736 7425869474 10192355472 11138804211 14851738948 22277608422 29703477896 44555216844 48268151581 59406955792 89110433688 96536303162 144804454743 178220867376 193072606324 289608909486 330451191593 386145212648 579217818972 660902383186 772290425296 991353574779 1158435637944 1321804766372 1982707149558 2316871275888 2643609532744 3965414299116 4295865490709 5287219065488 7930828598232 8591730981418 12887596472127 15861657196464 17183461962836 25775192944254 34366923925672 51550385888508 68733847851344 103100771777016 206201543554032