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424298644848 = 2433131812511663
BaseRepresentation
bin1100010110010100010…
…10111000010101110000
31111120012002202102102000
412023022022320111300
523422430423113343
6522530424254000
742440341655121
oct6131212702560
91446162672360
10424298644848
11153a42583971
126a294911300
133101b77c6c0
141677133c048
15b084c2bed3
hex62ca2b8570

424298644848 has 320 divisors, whose sum is σ = 1324875202560. Its totient is φ = 129237120000.

The previous prime is 424298644831. The next prime is 424298644849. The reversal of 424298644848 is 848446892424.

It is a happy number.

424298644848 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 98 + 64 + 484 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424298644849) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 255139665 + ... + 255141327.

It is an arithmetic number, because the mean of its divisors is an integer number (4140235008).

Almost surely, 2424298644848 is an apocalyptic number.

424298644848 is a gapful number since it is divisible by the number (48) 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 424298644848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662437601280).

424298644848 is an abundant number, since it is smaller than the sum of its proper divisors (900576557712).

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

424298644848 is a wasteful number, since it uses less digits than its factorization.

424298644848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2113 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 63.

The spelling of 424298644848 in words is "four hundred twenty-four billion, two hundred ninety-eight million, six hundred forty-four thousand, eight hundred forty-eight".