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64066304323424 = 25131717952799587
BaseRepresentation
bin11101001000100100110010…
…10011111010111101100000
322101211200022220100211120202
432210102121103322331200
531344130242401322144
6344131353124124332
716331431513412114
oct1644223123727540
9271750286324522
1064066304323424
1119460404649287
12722858b8366a8
1329995712527a0
1411b6b7b915744
157617a19ad64e
hex3a44994faf60

64066304323424 has 192 divisors, whose sum is σ = 144669021235200. Its totient is φ = 27666105212928.

The previous prime is 64066304323421. The next prime is 64066304323471. The reversal of 64066304323424 is 42432340366046.

64066304323424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64066304323421) 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 31 ways as a sum of consecutive naturals, for example, 6682617959 + ... + 6682627545.

It is an arithmetic number, because the mean of its divisors is an integer number (753484485600).

Almost surely, 264066304323424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64066304323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334510617600).

64066304323424 is an abundant number, since it is smaller than the sum of its proper divisors (80602716911776).

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

64066304323424 is a wasteful number, since it uses less digits than its factorization.

64066304323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 47.

The spelling of 64066304323424 in words is "sixty-four trillion, sixty-six billion, three hundred four million, three hundred twenty-three thousand, four hundred twenty-four".