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64463523840 = 212335116579
BaseRepresentation
bin111100000010010100…
…110101000000000000
320011101120111022101000
4330002110311000000
52024010130230330
645340353012000
74441315624512
oct740224650000
9204346438330
1064463523840
112537aa84641
12105b0854000
136104402061
1431975c5bb2
151a24538560
hexf02535000

64463523840 has 208 divisors, whose sum is σ = 229177627200. Its totient is φ = 17190125568.

The previous prime is 64463523821. The next prime is 64463523889. The reversal of 64463523840 is 4832536446.

64463523840 is a `hidden beast` number, since 6 + 4 + 4 + 635 + 2 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494671 + ... + 611249.

Almost surely, 264463523840 is an apocalyptic number.

64463523840 is a gapful number since it is divisible by the number (60) 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 64463523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114588813600).

64463523840 is an abundant number, since it is smaller than the sum of its proper divisors (164714103360).

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

64463523840 is a wasteful number, since it uses less digits than its factorization.

64463523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116617 (or 116589 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 64463523840 in words is "sixty-four billion, four hundred sixty-three million, five hundred twenty-three thousand, eight hundred forty".