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6842831128 = 237317015623
BaseRepresentation
bin1100101111101110…
…10101000100011000
3122122212222211121221
412113313111010120
5103003231044003
63051001341424
7331400050660
oct62767250430
918585884557
106842831128
1129a1666341
1213ab797874
13850897003
1448cb271a0
152a0b207bd
hex197dd5118

6842831128 has 64 divisors (see below), whose sum is σ = 15160504320. Its totient is φ = 2833488000.

The previous prime is 6842831123. The next prime is 6842831129. The reversal of 6842831128 is 8211382486.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842831123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1214125 + ... + 1219747.

It is an arithmetic number, because the mean of its divisors is an integer number (236882880).

Almost surely, 26842831128 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 6842831128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580252160).

6842831128 is an abundant number, since it is smaller than the sum of its proper divisors (8317673192).

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

6842831128 is a wasteful number, since it uses less digits than its factorization.

6842831128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6364 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 6842831128 is about 82721.4067095090. The cubic root of 6842831128 is about 1898.5058546866.

The spelling of 6842831128 in words is "six billion, eight hundred forty-two million, eight hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 701 868 1402 1736 2804 4907 5608 5623 9814 11246 19628 21731 22492 39256 39361 43462 44984 78722 86924 152117 157444 173848 174313 304234 314888 348626 608468 697252 1216936 1220191 1394504 2440382 3941723 4880764 7883446 9761528 15766892 27592061 31533784 55184122 110368244 122193413 220736488 244386826 488773652 855353891 977547304 1710707782 3421415564 6842831128