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688426541682 = 2311194327147111
BaseRepresentation
bin10100000010010010110…
…10110110001001110010
32102210221121222210120120
422001021122312021302
542234344143313212
61244131521551110
7100510565024355
oct12011132661162
92383847883516
10688426541682
11245a61921110
12b15087a5496
134cbc27aa859
142546a1da29c
1512d92ede88c
hexa0496b6272

688426541682 has 128 divisors (see below), whose sum is σ = 1623848878080. Its totient is φ = 192321864000.

The previous prime is 688426541617. The next prime is 688426541711. The reversal of 688426541682 is 286145624886.

It is a super-2 number, since 2×6884265416822 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14589307 + ... + 14636417.

It is an arithmetic number, because the mean of its divisors is an integer number (12686319360).

Almost surely, 2688426541682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688426541682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811924439040).

688426541682 is an abundant number, since it is smaller than the sum of its proper divisors (935422336398).

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

688426541682 is a wasteful number, since it uses less digits than its factorization.

688426541682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47460.

The product of its digits is 35389440, while the sum is 60.

The spelling of 688426541682 in words is "six hundred eighty-eight billion, four hundred twenty-six million, five hundred forty-one thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 271 418 473 542 627 813 817 946 1254 1419 1626 1634 2451 2838 2981 4902 5149 5962 8943 8987 10298 11653 15447 17886 17974 23306 26961 30894 34959 47111 53922 56639 69918 94222 113278 128183 141333 169917 221407 256366 282666 339834 384549 442814 518221 664221 769098 895109 1036442 1328442 1554663 1790218 2025773 2435477 2685327 3109326 4051546 4870954 5370654 6077319 7306431 9846199 12154638 12767081 14612862 19692398 22283503 25534162 29538597 38301243 38489687 44567006 59077194 66850509 76602486 76979374 115469061 133701018 140437891 230938122 242574539 280875782 421313673 423386557 485149078 548984483 727723617 842627346 846773114 1097968966 1270159671 1455447234 1646953449 2540319342 2668319929 3293906898 5336639858 6038829313 8004959787 10430705177 12077658626 16009919574 18116487939 20861410354 31292115531 36232975878 62584231062 114737756947 229475513894 344213270841 688426541682