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206941891122 = 23410323472
BaseRepresentation
bin1100000010111010110…
…0101010101000110010
3201210011010200021220000
43000232230222220302
511342304111003442
6235022350530430
720644133023431
oct3005654525062
9653133607800
10206941891122
117a8443367aa
1234134506a16
131668c58ab65
14a032033118
1555b2b10d4c
hex302eb2aa32

206941891122 has 90 divisors (see below), whose sum is σ = 469602115983. Its totient is φ = 68114054088.

The previous prime is 206941891109. The next prime is 206941891129. The reversal of 206941891122 is 221198149602.

It is a happy number.

206941891122 is a `hidden beast` number, since 20 + 6 + 9 + 418 + 91 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103470945561 + 103470945561 = 321669^2 + 321669^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=321669.

It is a super-2 number, since 2×2069418911222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206941891129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 596374153 + ... + 596374499.

Almost surely, 2206941891122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206941891122

206941891122 is an abundant number, since it is smaller than the sum of its proper divisors (262660224861).

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

206941891122 is an frugal number, since it uses more digits than its factorization.

206941891122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 206941891122 in words is "two hundred six billion, nine hundred forty-one million, eight hundred ninety-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 347 618 694 927 1041 1854 2082 2781 3123 5562 6246 8343 9369 10609 16686 18738 21218 28107 31827 35741 56214 63654 71482 95481 107223 120409 190962 214446 240818 286443 321669 361227 572886 643338 722454 859329 965007 1083681 1718658 1930014 2167362 2895021 3251043 3681323 5790042 6502086 7362646 9753129 11043969 12402127 19506258 22087938 24804254 33131907 37206381 66263814 74412762 99395721 111619143 198791442 223238286 298187163 334857429 596374326 669714858 1004572287 1277419081 2009144574 2554838162 3832257243 7664514486 11496771729 22993543458 34490315187 68980630374 103470945561 206941891122