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6744374928 = 243425720249
BaseRepresentation
bin1100100011111111…
…01111111010010000
3122102000201202010000
412101333233322100
5102303024444203
63033123210000
7326063145444
oct62177577220
918360652100
106744374928
112951029785
121382816900
138363740c5
1447da18824
152971734a3
hex191fefe90

6744374928 has 100 divisors (see below), whose sum is σ = 19597099500. Its totient is φ = 2239266816.

The previous prime is 6744374927. The next prime is 6744374941. The reversal of 6744374928 is 8294734476.

It can be written as a sum of positive squares in 2 ways, for example, as 4837480704 + 1906894224 = 69552^2 + 43668^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6744374927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 322948 + ... + 343196.

It is an arithmetic number, because the mean of its divisors is an integer number (195970995).

Almost surely, 26744374928 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 6744374928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798549750).

6744374928 is an abundant number, since it is smaller than the sum of its proper divisors (12852724572).

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

6744374928 is a wasteful number, since it uses less digits than its factorization.

6744374928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 20511 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6744374928 is about 82124.1433927928. The cubic root of 6744374928 is about 1889.3564551231.

The spelling of 6744374928 in words is "six billion, seven hundred forty-four million, three hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 257 324 432 514 648 771 1028 1296 1542 2056 2313 3084 4112 4626 6168 6939 9252 12336 13878 18504 20249 20817 27756 37008 40498 41634 55512 60747 80996 83268 111024 121494 161992 166536 182241 242988 323984 333072 364482 485976 546723 728964 971952 1093446 1457928 1640169 2186892 2915856 3280338 4373784 5203993 6560676 8747568 10407986 13121352 15611979 20815972 26242704 31223958 41631944 46835937 62447916 83263888 93671874 124895832 140507811 187343748 249791664 281015622 374687496 421523433 562031244 749374992 843046866 1124062488 1686093732 2248124976 3372187464 6744374928