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5710214880 = 253453161233
BaseRepresentation
bin1010101000101101…
…01111011011100000
3112201221202222020000
411110112233123200
543143303334010
62342341420000
7261335011536
oct52426573340
915657688200
105710214880
1124702a3a57
12113440a600
13700036596
143c2538156
152364957c0
hex1545af6e0

5710214880 has 480 divisors, whose sum is σ = 21234140928. Its totient is φ = 1443225600.

The previous prime is 5710214821. The next prime is 5710214893. The reversal of 5710214880 is 884120175.

5710214880 is a `hidden beast` number, since 571 + 0 + 2 + 1 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24507244 + ... + 24507476.

Almost surely, 25710214880 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 5710214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617070464).

5710214880 is an abundant number, since it is smaller than the sum of its proper divisors (15523926048).

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

5710214880 is a wasteful number, since it uses less digits than its factorization.

5710214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 5710214880 is about 75565.9637667647. The cubic root of 5710214880 is about 1787.3824271373.

The spelling of 5710214880 in words is "five billion, seven hundred ten million, two hundred fourteen thousand, eight hundred eighty".