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12006356046 = 2317173680401
BaseRepresentation
bin10110010111010001…
…00111010001001110
31010222202002002012120
423023220213101032
5144042111343141
65303213513410
7603346225326
oct131350472116
933882062176
1012006356046
115101303003
1223b0aa2866
13119457b8b9
1481c7d4286
154a40c8c66
hex2cba2744e

12006356046 has 32 divisors (see below), whose sum is σ = 25572228768. Its totient is φ = 3744921600.

The previous prime is 12006356023. The next prime is 12006356059. The reversal of 12006356046 is 64065360021.

12006356046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12006355998 and 12006356016.

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 15 ways as a sum of consecutive naturals, for example, 322555 + ... + 357846.

It is an arithmetic number, because the mean of its divisors is an integer number (799132149).

Almost surely, 212006356046 is an apocalyptic number.

12006356046 is an abundant number, since it is smaller than the sum of its proper divisors (13565872722).

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

12006356046 is a wasteful number, since it uses less digits than its factorization.

12006356046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680596.

The product of its (nonzero) digits is 25920, while the sum is 33.

It can be divided in two parts, 1200635 and 6046, that added together give a triangular number (1206681 = T1553).

The spelling of 12006356046 in words is "twelve billion, six million, three hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 17 34 51 102 173 346 519 1038 2941 5882 8823 17646 680401 1360802 2041203 4082406 11566817 23133634 34700451 69400902 117709373 235418746 353128119 706256238 2001059341 4002118682 6003178023 12006356046