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6005106012 = 223642777863
BaseRepresentation
bin1011001011110111…
…01010010101011100
3120111111122222210210
411211323222111130
544244301343022
62431514132420
7301545362463
oct54573522534
916444588723
106005106012
1126017a9034
1211b7121110
13749165b89
1440d77b9da
152522e5a0c
hex165eea55c

6005106012 has 24 divisors (see below), whose sum is σ = 14014274176. Its totient is φ = 2001364848.

The previous prime is 6005106001. The next prime is 6005106013. The reversal of 6005106012 is 2106015006.

It is a happy number.

It is a super-2 number, since 2×60051060122 = 72122596430717088288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6005106012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005106013) 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 7 ways as a sum of consecutive naturals, for example, 38193 + ... + 116055.

Almost surely, 26005106012 is an apocalyptic number.

It is an amenable number.

6005106012 is an abundant number, since it is smaller than the sum of its proper divisors (8009168164).

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

6005106012 is a wasteful number, since it uses less digits than its factorization.

6005106012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84297 (or 84295 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 6005106012 is about 77492.6190807873. The cubic root of 6005106012 is about 1817.6359044356.

The spelling of 6005106012 in words is "six billion, five million, one hundred six thousand, twelve".

Divisors: 1 2 3 4 6 12 6427 12854 19281 25708 38562 77124 77863 155726 233589 311452 467178 934356 500425501 1000851002 1501276503 2001702004 3002553006 6005106012