Search a number
-
+
744066683648 = 2823293431297
BaseRepresentation
bin10101101001111011101…
…01001001001100000000
32122010120021201212110022
422310331311021030000
544142322032334043
61325453003153012
7104520444312611
oct12647565111400
92563507655408
10744066683648
11267614277312
12100256515768
135521bbbb092
1428027a23c08
151454cad7868
hexad3dd49300

744066683648 has 72 divisors (see below), whose sum is σ = 1555094969568. Its totient is φ = 354642624512.

The previous prime is 744066683629. The next prime is 744066683693. The reversal of 744066683648 is 846386660447.

It is a Cunningham number, because it is equal to 8625932-1.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1509536 + ... + 1940832.

It is an arithmetic number, because the mean of its divisors is an integer number (21598541244).

Almost surely, 2744066683648 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 744066683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777547484784).

744066683648 is an abundant number, since it is smaller than the sum of its proper divisors (811028285920).

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

744066683648 is a wasteful number, since it uses less digits than its factorization.

744066683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431629 (or 431615 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 62.

The spelling of 744066683648 in words is "seven hundred forty-four billion, sixty-six million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 293 368 586 736 1172 1472 2344 2944 4688 5888 6739 9376 13478 18752 26956 37504 53912 75008 107824 215648 431296 431297 862592 862594 1725184 1725188 3450376 6900752 9919831 13801504 19839662 27603008 39679324 55206016 79358648 110412032 126370021 158717296 252740042 317434592 505480084 634869184 1010960168 1269738368 2021920336 2539476736 2906510483 4043840672 5813020966 8087681344 11626041932 16175362688 23252083864 32350725376 46504167728 93008335456 186016670912 372033341824 744066683648