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64446780384 = 25357373331
BaseRepresentation
bin111100000001010100…
…111101001111100000
320011100101222122200000
4330001110331033200
52023441333433014
645334554100000
74441023411000
oct740124751740
9204311878600
1064446780384
1125371588a78
12105a711a600
136100abbc9c
1431952a8000
151a22d2c509
hexf0153d3e0

64446780384 has 576 divisors, whose sum is σ = 225357350400. Its totient is φ = 18106260480.

The previous prime is 64446780373. The next prime is 64446780401. The reversal of 64446780384 is 48308764446.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 64446780384.

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 95 ways as a sum of consecutive naturals, for example, 194703099 + ... + 194703429.

It is an arithmetic number, because the mean of its divisors is an integer number (391245400).

Almost surely, 264446780384 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 64446780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112678675200).

64446780384 is an abundant number, since it is smaller than the sum of its proper divisors (160910570016).

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

64446780384 is an equidigital number, since it uses as much as digits as its factorization.

64446780384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 64446780384 in words is "sixty-four billion, four hundred forty-six million, seven hundred eighty thousand, three hundred eighty-four".