Search a number
-
+
68444744688 = 243554732183
BaseRepresentation
bin111111101111100111…
…111110101111110000
320112200000212021200000
4333233213332233300
52110133323312223
651235412230000
74642060505415
oct775747765760
9215600767600
1068444744688
1127033301801
121132200b300
1365ba179c38
14345424c10c
151ba8cee543
hexfef9febf0

68444744688 has 120 divisors (see below), whose sum is σ = 199014012288. Its totient is φ = 22772498112.

The previous prime is 68444744671. The next prime is 68444744689. The reversal of 68444744688 is 88644744486.

68444744688 is a `hidden beast` number, since 6 + 8 + 44 + 474 + 46 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68444744689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110645 + ... + 2142827.

Almost surely, 268444744688 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 68444744688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99507006144).

68444744688 is an abundant number, since it is smaller than the sum of its proper divisors (130569267600).

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

68444744688 is a wasteful number, since it uses less digits than its factorization.

68444744688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32753 (or 32735 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 63.

The spelling of 68444744688 in words is "sixty-eight billion, four hundred forty-four million, seven hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 547 648 972 1094 1296 1641 1944 2188 3282 3888 4376 4923 6564 8752 9846 13128 14769 19692 26256 29538 32183 39384 44307 59076 64366 78768 88614 96549 118152 128732 132921 177228 193098 236304 257464 265842 289647 354456 386196 514928 531684 579294 708912 772392 868941 1063368 1158588 1544784 1737882 2126736 2317176 2606823 3475764 4634352 5213646 6951528 7820469 10427292 13903056 15640938 17604101 20854584 31281876 35208202 41709168 52812303 62563752 70416404 105624606 125127504 140832808 158436909 211249212 281665616 316873818 422498424 475310727 633747636 844996848 950621454 1267495272 1425932181 1901242908 2534990544 2851864362 3802485816 4277796543 5703728724 7604971632 8555593086 11407457448 17111186172 22814914896 34222372344 68444744688