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2035012068 = 22323132577
BaseRepresentation
bin111100101001011…
…1101000111100100
312020211020022202100
41321102331013210
513131430341233
6533533212100
7101300213535
oct17122750744
95224208670
102035012068
11954790761
12489631030
132657b576b
141543b068c
15bd9cb813
hex794bd1e4

2035012068 has 54 divisors (see below), whose sum is σ = 5169489234. Its totient is φ = 674998272.

The previous prime is 2035012061. The next prime is 2035012069. The reversal of 2035012068 is 8602105302.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 2032026084 = 1728^2 + 45078^2 .

It is not an unprimeable number, because it can be changed into a prime (2035012061) 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 17 ways as a sum of consecutive naturals, for example, 3526596 + ... + 3527172.

Almost surely, 22035012068 is an apocalyptic number.

It is an amenable number.

2035012068 is an abundant number, since it is smaller than the sum of its proper divisors (3134477166).

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

2035012068 is a wasteful number, since it uses less digits than its factorization.

2035012068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2035012068 is about 45111.1080333880. The cubic root of 2035012068 is about 1267.2306340280.

The spelling of 2035012068 in words is "two billion, thirty-five million, twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 313 577 626 939 1154 1252 1731 1878 2308 2817 3462 3756 5193 5634 6924 10386 11268 20772 97969 180601 195938 293907 361202 391876 541803 587814 722404 881721 1083606 1175628 1625409 1763442 2167212 3250818 3526884 6501636 56528113 113056226 169584339 226112452 339168678 508753017 678337356 1017506034 2035012068