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6809235840 = 273451111941
BaseRepresentation
bin1100101011101110…
…01011000110000000
3122120112210000120000
412111313023012000
5102421131021330
63043401320000
7330511356351
oct62567130600
918515700500
106809235840
1129846aa740
1213a0496000
13846933744
1448849dd28
1529cbd6560
hex195dcb180

6809235840 has 320 divisors, whose sum is σ = 26529869520. Its totient is φ = 1650585600.

The previous prime is 6809235833. The next prime is 6809235841. The reversal of 6809235840 is 485329086.

6809235840 is a `hidden beast` number, since 68 + 0 + 9 + 2 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6809235841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564270 + ... + 576210.

Almost surely, 26809235840 is an apocalyptic number.

6809235840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6809235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264934760).

6809235840 is an abundant number, since it is smaller than the sum of its proper divisors (19720633680).

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

6809235840 is a wasteful number, since it uses less digits than its factorization.

6809235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6809235840 is about 82518.0940157975. The cubic root of 6809235840 is about 1895.3938135822.

The spelling of 6809235840 in words is "six billion, eight hundred nine million, two hundred thirty-five thousand, eight hundred forty".