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5685313920 = 2735111320707
BaseRepresentation
bin1010100101101111…
…10000000110000000
3112200012220212112020
411102313300012000
543120420021140
62340052001440
7260613241146
oct52267600600
915605825466
105685313920
112458236550
121128000280
136c7b284a0
143bd0d5596
152341c76d0
hex152df0180

5685313920 has 256 divisors, whose sum is σ = 21291137280. Its totient is φ = 1272176640.

The previous prime is 5685313901. The next prime is 5685313943. The reversal of 5685313920 is 293135865.

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 31 ways as a sum of consecutive naturals, for example, 264207 + ... + 284913.

It is an arithmetic number, because the mean of its divisors is an integer number (83168505).

Almost surely, 25685313920 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 5685313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645568640).

5685313920 is an abundant number, since it is smaller than the sum of its proper divisors (15605823360).

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

5685313920 is a wasteful number, since it uses less digits than its factorization.

5685313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5685313920 is about 75401.0206827467. The cubic root of 5685313920 is about 1784.7805173883.

The spelling of 5685313920 in words is "five billion, six hundred eighty-five million, three hundred thirteen thousand, nine hundred twenty".