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5230432480 = 2557213193773
BaseRepresentation
bin1001101111100001…
…00001000011100000
3111111111222111111111
410313300201003200
541202442314410
62223002153104
7243420641200
oct46760410340
914444874444
105230432480
112244496379
12101b7b2794
1365480c980
14378926400
152092c2b8a
hex137c210e0

5230432480 has 576 divisors, whose sum is σ = 16964458560. Its totient is φ = 1504935936.

The previous prime is 5230432457. The next prime is 5230432523. The reversal of 5230432480 is 842340325.

5230432480 is nontrivially palindromic in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71649724 + ... + 71649796.

It is an arithmetic number, because the mean of its divisors is an integer number (29452185).

Almost surely, 25230432480 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 5230432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482229280).

5230432480 is an abundant number, since it is smaller than the sum of its proper divisors (11734026080).

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

5230432480 is a wasteful number, since it uses less digits than its factorization.

5230432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 5230432480 is about 72321.7289616337. The cubic root of 5230432480 is about 1735.8513573736.

The spelling of 5230432480 in words is "five billion, two hundred thirty million, four hundred thirty-two thousand, four hundred eighty".