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5685039360 = 28325711131729
BaseRepresentation
bin1010100101101101…
…01101000100000000
3112200012101220220100
411102312231010000
543120332224420
62340042042400
7260611015530
oct52266550400
915605356810
105685039360
112458069240
121127aa9400
136c7a60520
143bd0634c0
15234171190
hex152dad100

5685039360 has 1728 divisors, whose sum is σ = 28927342080. Its totient is φ = 990904320.

The previous prime is 5685039337. The next prime is 5685039391. The reversal of 5685039360 is 639305865.

5685039360 is a `hidden beast` number, since 56 + 8 + 503 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 196035826 + ... + 196035854.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 25685039360 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 5685039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463671040).

5685039360 is an abundant number, since it is smaller than the sum of its proper divisors (23242302720).

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

5685039360 is a wasteful number, since it uses less digits than its factorization.

5685039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5685039360 is about 75399.1999957559. The cubic root of 5685039360 is about 1784.7517862144.

The spelling of 5685039360 in words is "five billion, six hundred eighty-five million, thirty-nine thousand, three hundred sixty".