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2085333168006 = 234111170220633
BaseRepresentation
bin11110010110000111100…
…010101110111110000110
321101100121110020221010000
4132112013202232332012
5233131230242334011
64233553330542130
7303442333315314
oct36260742567606
97340543227100
102085333168006
11734426232a30
12298199a37946
131218525697aa
1472d05a550b4
153939e7b4356
hex1e5878aef86

2085333168006 has 40 divisors (see below), whose sum is σ = 5097481081704. Its totient is φ = 631919141280.

The previous prime is 2085333167987. The next prime is 2085333168007. The reversal of 2085333168006 is 6008613335802.

2085333168006 is a `hidden beast` number, since 2 + 0 + 8 + 533 + 31 + 6 + 80 + 0 + 6 = 666.

It is a super-2 number, since 2×20853331680062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085333168007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 585108535 + ... + 585112098.

Almost surely, 22085333168006 is an apocalyptic number.

2085333168006 is an abundant number, since it is smaller than the sum of its proper divisors (3012147913698).

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

2085333168006 is a wasteful number, since it uses less digits than its factorization.

2085333168006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170220658 (or 1170220649 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2085333168006 in words is "two trillion, eighty-five billion, three hundred thirty-three million, one hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 1170220633 2340441266 3510661899 7021323798 10531985697 12872426963 21063971394 25744853926 31595957091 38617280889 63191914182 77234561778 94787871273 115851842667 189575742546 231703685334 347555528001 695111056002 1042666584003 2085333168006