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206203044525126 = 2311231731237634757
BaseRepresentation
bin101110111000101001100011…
…001110000111010001000110
31000001002211002201021012021220
4232320221203032013101012
5204011412313344301001
62010320212041221210
761301451445651365
oct5670514316072106
91001084081235256
10206203044525126
115a780246a28770
121b163646491806
138b09b2c6117ac
1438cc3cddab7dc
1518c8c338d7c36
hexbb8a63387446

206203044525126 has 128 divisors (see below), whose sum is σ = 472554398462976. Its totient is φ = 59375380922880.

The previous prime is 206203044525083. The next prime is 206203044525131. The reversal of 206203044525126 is 621525440302602.

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 63 ways as a sum of consecutive naturals, for example, 324536140 + ... + 325170896.

It is an arithmetic number, because the mean of its divisors is an integer number (3691831237992).

Almost surely, 2206203044525126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206203044525126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236277199231488).

206203044525126 is an abundant number, since it is smaller than the sum of its proper divisors (266351353937850).

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

206203044525126 is a wasteful number, since it uses less digits than its factorization.

206203044525126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636206.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 206203044525126 its reverse (621525440302602), we get a palindrome (827728484827728).

The spelling of 206203044525126 in words is "two hundred six trillion, two hundred three billion, forty-four million, five hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 173 253 346 506 519 759 1038 1237 1518 1903 2474 3711 3806 3979 5709 7422 7958 11418 11937 13607 23874 27214 28451 40821 43769 56902 81642 85353 87538 131307 170706 214001 262614 312961 428002 625922 634757 642003 938883 1269514 1284006 1877766 1904271 2354011 3808542 4708022 4922023 6982327 7062033 9844046 13964654 14124066 14599411 14766069 20946981 29198822 29532138 41893962 43798233 54142253 87596466 108284506 109812961 160593521 162426759 219625922 321187042 324853518 329438883 481780563 658877766 785194409 963561126 1207942571 1570388818 2355583227 2415885142 2525698103 3623827713 4711166454 5051396206 7247655426 7577094309 8637138499 15154188618 17274276998 18059471407 25911415497 27782679133 36118942814 51822830994 54178414221 55565358266 83348037399 108356828442 135838632757 166696074798 198654185477 271677265514 397308370954 407515898271 595962556431 815031796542 1191925112862 1494224960327 2988449920654 3124288553411 4482674880981 6248577106822 8965349761962 9372865660233 18745731320466 34367174087521 68734348175042 103101522262563 206203044525126