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68388777000 = 2332537598753
BaseRepresentation
bin111111101100010010…
…011110110000101000
320112112010112211102200
4333230102132300220
52110030011331000
651230052500200
74640511004335
oct775422366050
9215463484380
1068388777000
1127004755415
121130731a660
1365ab6b246b
14344aa3d98c
151ba3e46500
hexfec49ec28

68388777000 has 96 divisors (see below), whose sum is σ = 231154096680. Its totient is φ = 18237004800.

The previous prime is 68388776971. The next prime is 68388777013. The reversal of 68388777000 is 77788386.

It can be written as a sum of positive squares in 4 ways, for example, as 38327459076 + 30061317924 = 195774^2 + 173382^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3790377 + ... + 3808376.

Almost surely, 268388777000 is an apocalyptic number.

68388777000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68388777000 is an abundant number, since it is smaller than the sum of its proper divisors (162765319680).

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

68388777000 is a wasteful number, since it uses less digits than its factorization.

68388777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598780 (or 7598763 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 68388777000 in words is "sixty-eight billion, three hundred eighty-eight million, seven hundred seventy-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 7598753 15197506 22796259 30395012 37993765 45592518 60790024 68388777 75987530 91185036 113981295 136777554 151975060 182370072 189968825 227962590 273555108 303950120 341943885 379937650 455925180 547110216 569906475 683887770 759875300 911850360 949844125 1139812950 1367775540 1519750600 1709719425 1899688250 2279625900 2735551080 2849532375 3419438850 3799376500 4559251800 5699064750 6838877700 7598753000 8548597125 11398129500 13677755400 17097194250 22796259000 34194388500 68388777000