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5712603840 = 2633517192389
BaseRepresentation
bin1010101000111111…
…10110101011000000
3112202010021100021000
411110133312223000
543144411310330
62342504532000
7261364221456
oct52437665300
915663240230
105712603840
1124716858a9
121135181000
13700691a78
143c299a9d6
152367b8560
hex1547f6ac0

5712603840 has 896 divisors, whose sum is σ = 23701248000. Its totient is φ = 1284636672.

The previous prime is 5712603797. The next prime is 5712603851. The reversal of 5712603840 is 483062175.

5712603840 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 603 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5712603795 and 5712603804.

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 127 ways as a sum of consecutive naturals, for example, 64186516 + ... + 64186604.

Almost surely, 25712603840 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 5712603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850624000).

5712603840 is an abundant number, since it is smaller than the sum of its proper divisors (17988644160).

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

5712603840 is a wasteful number, since it uses less digits than its factorization.

5712603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

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

The square root of 5712603840 is about 75581.7692304169. The cubic root of 5712603840 is about 1787.6316524221.

The spelling of 5712603840 in words is "five billion, seven hundred twelve million, six hundred three thousand, eight hundred forty".