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643481280 = 263351317337
BaseRepresentation
bin100110010110101…
…011111011000000
31122211211020101000
4212112223323000
52304212400110
6143504012000
721642333501
oct4626537300
91584736330
10643481280
11300257012
1215b601000
13a3410b70
1461664ba8
153b75b1c0
hex265abec0

643481280 has 448 divisors, whose sum is σ = 2596164480. Its totient is φ = 148635648.

The previous prime is 643481269. The next prime is 643481287. The reversal of 643481280 is 82184346.

643481280 is a `hidden beast` number, since 643 + 4 + 8 + 1 + 2 + 8 + 0 = 666.

643481280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643481287) by changing a digit.

It is a nontrivial repunit in base 863.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909272 + ... + 1909608.

It is an arithmetic number, because the mean of its divisors is an integer number (5795010).

Almost surely, 2643481280 is an apocalyptic number.

643481280 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 643481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298082240).

643481280 is an abundant number, since it is smaller than the sum of its proper divisors (1952683200).

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

643481280 is a wasteful number, since it uses less digits than its factorization.

643481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 643481280 is about 25366.9328063130. The cubic root of 643481280 is about 863.3335910648. Note that the first 3 decimals are identical.

The spelling of 643481280 in words is "six hundred forty-three million, four hundred eighty-one thousand, two hundred eighty".