Search a number
-
+
206845959580 = 2251337179120121
BaseRepresentation
bin1100000010100011111…
…0101101110110011100
3201202220110011110112221
43000220332231312130
511342110031201310
6235005042435124
720641556434561
oct3005076556634
9652813143487
10206845959580
117a7a5173a37
1234108362aa4
1316675740130
14a0233c0868
1555a94b1ada
hex3028fadd9c

206845959580 has 96 divisors (see below), whose sum is σ = 483121074240. Its totient is φ = 73893980160.

The previous prime is 206845959557. The next prime is 206845959601. The reversal of 206845959580 is 85959548602.

It is a congruent number.

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, 1661920 + ... + 1782040.

It is an arithmetic number, because the mean of its divisors is an integer number (5032511190).

Almost surely, 2206845959580 is an apocalyptic number.

206845959580 is a gapful number since it is divisible by the number (20) 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 206845959580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241560537120).

206845959580 is an abundant number, since it is smaller than the sum of its proper divisors (276275114660).

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

206845959580 is a wasteful number, since it uses less digits than its factorization.

206845959580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120359 (or 120357 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 61.

The spelling of 206845959580 in words is "two hundred six billion, eight hundred forty-five million, nine hundred fifty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 179 185 260 358 370 481 716 740 895 962 1790 1924 2327 2405 3580 4654 4810 6623 9308 9620 11635 13246 23270 26492 33115 46540 66230 86099 120121 132460 172198 240242 344396 430495 480484 600605 860990 1201210 1561573 1721980 2402420 3123146 4444477 6246292 7807865 8888954 15615730 17777908 21501659 22222385 31231460 43003318 44444770 57778201 86006636 88889540 107508295 115556402 215016590 231112804 279521567 288891005 430033180 559043134 577782010 795561383 1118086268 1155564020 1397607835 1591122766 2795215670 3182245532 3977806915 5590431340 7955613830 10342297979 15911227660 20684595958 41369191916 51711489895 103422979790 206845959580