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12341768064 = 27332140021
BaseRepresentation
bin10110111111010000…
…00110111110000000
31011212010012202222220
423133220012332000
5200233443034224
65400354531040
7614561204043
oct133750067600
934763182886
1012341768064
11526367401a
122485296a80
131218bc7b52
14851184c5a
154c3780279
hex2dfa06f80

12341768064 has 32 divisors (see below), whose sum is σ = 32782822440. Its totient is φ = 4113922560.

The previous prime is 12341768057. The next prime is 12341768107. The reversal of 12341768064 is 46086714321.

12341768064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 16069627 + ... + 16070394.

Almost surely, 212341768064 is an apocalyptic number.

It is an amenable number.

12341768064 is an abundant number, since it is smaller than the sum of its proper divisors (20441054376).

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

12341768064 is an equidigital number, since it uses as much as digits as its factorization.

12341768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32140038 (or 32140026 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 12341768064 in words is "twelve billion, three hundred forty-one million, seven hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 32140021 64280042 96420063 128560084 192840126 257120168 385680252 514240336 771360504 1028480672 1542721008 2056961344 3085442016 4113922688 6170884032 12341768064