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6831845856 = 253511253137
BaseRepresentation
bin1100101110011010…
…11011000111100000
3122122010022201200000
412113031123013200
5102442423031411
63045530100000
7331204505643
oct62715330740
918563281600
106831845856
112996442a00
1213a7b7a600
1384b51bb54
1448b4a7a5a
1529eba0956
hex19735b1e0

6831845856 has 432 divisors, whose sum is σ = 22728272112. Its totient is φ = 2016368640.

The previous prime is 6831845833. The next prime is 6831845887. The reversal of 6831845856 is 6585481386.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 49867420 + ... + 49867556.

It is an arithmetic number, because the mean of its divisors is an integer number (52611741).

Almost surely, 26831845856 is an apocalyptic number.

6831845856 is a gapful number since it is divisible by the number (66) 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 6831845856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364136056).

6831845856 is an abundant number, since it is smaller than the sum of its proper divisors (15896426256).

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

6831845856 is a wasteful number, since it uses less digits than its factorization.

6831845856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 6831845856 is about 82654.9808299536. The cubic root of 6831845856 is about 1897.4893761220.

The spelling of 6831845856 in words is "six billion, eight hundred thirty-one million, eight hundred forty-five thousand, eight hundred fifty-six".