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193918430106 = 2335097739127
BaseRepresentation
bin1011010010011001110…
…0000110101110011010
3200112112111201220222000
42310212130012232122
511134121104230411
6225030200541430
720003323313352
oct2644634065632
9615474656860
10193918430106
1175270997785
12316baa81876
13153953935cb
14955851bb62
15509e5c7956
hex2d26706b9a

193918430106 has 64 divisors (see below), whose sum is σ = 432382406400. Its totient is φ = 64421967168.

The previous prime is 193918430071. The next prime is 193918430107. The reversal of 193918430106 is 601034819391.

193918430106 is a `hidden beast` number, since 193 + 9 + 18 + 430 + 10 + 6 = 666.

193918430106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (193918430107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21242115 + ... + 21251241.

It is an arithmetic number, because the mean of its divisors is an integer number (6755975100).

Almost surely, 2193918430106 is an apocalyptic number.

193918430106 is an abundant number, since it is smaller than the sum of its proper divisors (238463976294).

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

193918430106 is a wasteful number, since it uses less digits than its factorization.

193918430106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 193918430106 in words is "one hundred ninety-three billion, nine hundred eighteen million, four hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 509 773 1018 1527 1546 2319 3054 4581 4638 6957 9127 9162 13743 13914 18254 20871 27381 27486 41742 54762 82143 164286 246429 393457 492858 786914 1180371 2360742 3541113 4645643 7055171 7082226 9291286 10623339 13936929 14110342 21165513 21246678 27873858 41810787 42331026 63496539 83621574 125432361 126993078 190489617 250864722 380979234 3591082039 7182164078 10773246117 21546492234 32319738351 64639476702 96959215053 193918430106