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6684857856 = 29331931821
BaseRepresentation
bin1100011100111001…
…01101011000000000
3122020212201222001000
412032130231120000
5102142310422411
63023155412000
7324441232335
oct61634553000
918225658030
106684857856
112920478716
1213668b4000
13826c35bc1
14475b6498c
15291d18956
hex18e72d600

6684857856 has 320 divisors, whose sum is σ = 21527193600. Its totient is φ = 2040422400.

The previous prime is 6684857807. The next prime is 6684857857. The reversal of 6684857856 is 6587584866.

6684857856 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 8 + 578 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6684857793 and 6684857802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684857857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8141926 + ... + 8142746.

It is an arithmetic number, because the mean of its divisors is an integer number (67272480).

Almost surely, 26684857856 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 6684857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763596800).

6684857856 is an abundant number, since it is smaller than the sum of its proper divisors (14842335744).

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

6684857856 is a wasteful number, since it uses less digits than its factorization.

6684857856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 876 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The square root of 6684857856 is about 81760.9800332653. The cubic root of 6684857856 is about 1883.7823595400.

The spelling of 6684857856 in words is "six billion, six hundred eighty-four million, eight hundred fifty-seven thousand, eight hundred fifty-six".