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10605066006 = 234341104907
BaseRepresentation
bin10011110000001110…
…00111011100010110
31000101002022011122110
421320013013130112
5133204344103011
64512155211450
7523542400533
oct117007073426
930332264573
1010605066006
114552313067
12207b746b86
13100016abb2
14728667d8a
1542107bba6
hex2781c7716

10605066006 has 16 divisors (see below), whose sum is σ = 21703391424. Its totient is φ = 3452812104.

The previous prime is 10605065983. The next prime is 10605066037. The reversal of 10605066006 is 60066050601.

10605066006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106050660062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20552196 + ... + 20552711.

It is an arithmetic number, because the mean of its divisors is an integer number (1356461964).

Almost surely, 210605066006 is an apocalyptic number.

10605066006 is an abundant number, since it is smaller than the sum of its proper divisors (11098325418).

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

10605066006 is a wasteful number, since it uses less digits than its factorization.

10605066006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41104955.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10605066006 in words is "ten billion, six hundred five million, sixty-six thousand, six".

Divisors: 1 2 3 6 43 86 129 258 41104907 82209814 123314721 246629442 1767511001 3535022002 5302533003 10605066006