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327401392768560 = 2432511419786712541
BaseRepresentation
bin100101001110001010001001…
…1101101110000011000110000
31120221020021012222200102011200
41022130110103231300120300
5320403121023022043220
63120154042400011200
7125650653503150025
oct11234242355603060
91527207188612150
10327401392768560
11953581729768a0
1230878700000b00
131108ba8506b5c6
145abc45203b54c
1527cb6dcc04890
hex129c513b70630

327401392768560 has 480 divisors, whose sum is σ = 1202591086744320. Its totient is φ = 79164229478400.

The previous prime is 327401392768537. The next prime is 327401392768649. The reversal of 327401392768560 is 65867293104723.

It is a happy number.

327401392768560 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 0 + 1 + 3 + 9 + 2 + 7 + 68 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26106475890 + ... + 26106488430.

It is an arithmetic number, because the mean of its divisors is an integer number (2505398097384).

It is a 1-persistent number, because it is pandigital, but 2⋅327401392768560 = 654802785537120 is not.

Almost surely, 2327401392768560 is an apocalyptic number.

327401392768560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327401392768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601295543372160).

327401392768560 is an abundant number, since it is smaller than the sum of its proper divisors (875189693975760).

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

327401392768560 is a wasteful number, since it uses less digits than its factorization.

327401392768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20857 (or 20848 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 327401392768560 in words is "three hundred twenty-seven trillion, four hundred one billion, three hundred ninety-two million, seven hundred sixty-eight thousand, five hundred sixty".