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5703216480 = 253451333851
BaseRepresentation
bin1010100111111000…
…00010110101100000
3112201110121102020000
411103330002311200
543140010411410
62341531420000
7261221353203
oct52374026540
915643542200
105703216480
112467353a55
121131bb4600
136cb756010
143c163593a
15235a61dc0
hex153f02d60

5703216480 has 240 divisors, whose sum is σ = 21676518864. Its totient is φ = 1403827200.

The previous prime is 5703216479. The next prime is 5703216509. The reversal of 5703216480 is 846123075.

5703216480 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 2 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151555 + ... + 185405.

Almost surely, 25703216480 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 5703216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838259432).

5703216480 is an abundant number, since it is smaller than the sum of its proper divisors (15973302384).

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

5703216480 is a wasteful number, since it uses less digits than its factorization.

5703216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33891 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5703216480 is about 75519.6430076308. The cubic root of 5703216480 is about 1786.6519274297.

The spelling of 5703216480 in words is "five billion, seven hundred three million, two hundred sixteen thousand, four hundred eighty".