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5686755840 = 29325534657
BaseRepresentation
bin1010100101111010…
…10000001000000000
3112200022122010110200
411102331100020000
543121302141330
62340142525200
7260631425043
oct52275201000
915608563420
105686755840
112459030917
121128596800
136c82118ac
143bd38cc5a
152343aea60
hex152f50200

5686755840 has 240 divisors, whose sum is σ = 20070744408. Its totient is φ = 1487536128.

The previous prime is 5686755827. The next prime is 5686755871. The reversal of 5686755840 is 485576865.

5686755840 is a `hidden beast` number, since 5 + 6 + 86 + 7 + 558 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4057180416 + 1629575424 = 63696^2 + 40368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218792 + ... + 1223448.

Almost surely, 25686755840 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 5686755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035372204).

5686755840 is an abundant number, since it is smaller than the sum of its proper divisors (14383988568).

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

5686755840 is a wasteful number, since it uses less digits than its factorization.

5686755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5686755840 is about 75410.5817508392. The cubic root of 5686755840 is about 1784.9313910969.

The spelling of 5686755840 in words is "five billion, six hundred eighty-six million, seven hundred fifty-five thousand, eight hundred forty".