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68082141400080 = 24353123339273929
BaseRepresentation
bin11110111101011100110111…
…10110101000110000010000
322221001120220111022101111120
433132232123312220300100
532410424211144300310
6400444300505442240
720224525634352333
oct1736563366506020
9287046814271446
1068082141400080
111a769523a16a55
1277769374a0380
132bcb17012c1a2
1412b529c2d661a
157d0e8cecab70
hex3deb9bda8c10

68082141400080 has 160 divisors (see below), whose sum is σ = 218797891752960. Its totient is φ = 17494178488320.

The previous prime is 68082141400069. The next prime is 68082141400081. The reversal of 68082141400080 is 8000414128086.

It is not an unprimeable number, because it can be changed into a prime (68082141400081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17903445 + ... + 21370484.

It is an arithmetic number, because the mean of its divisors is an integer number (1367486823456).

Almost surely, 268082141400080 is an apocalyptic number.

68082141400080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68082141400080 is an abundant number, since it is smaller than the sum of its proper divisors (150715750352880).

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

68082141400080 is a wasteful number, since it uses less digits than its factorization.

68082141400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39274209 (or 39274203 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 68082141400080 in words is "sixty-eight trillion, eighty-two billion, one hundred forty-one million, four hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 233 240 248 310 372 465 466 496 620 699 744 930 932 1165 1240 1398 1488 1860 1864 2330 2480 2796 3495 3720 3728 4660 5592 6990 7223 7440 9320 11184 13980 14446 18640 21669 27960 28892 36115 43338 55920 57784 72230 86676 108345 115568 144460 173352 216690 288920 346704 433380 577840 866760 1733520 39273929 78547858 117821787 157095716 196369645 235643574 314191432 392739290 471287148 589108935 628382864 785478580 942574296 1178217870 1217491799 1570957160 1885148592 2356435740 2434983598 3141914320 3652475397 4712871480 4869967196 6087458995 7304950794 9150825457 9425742960 9739934392 12174917990 14609901588 18262376985 18301650914 19479868784 24349835980 27452476371 29219803176 36524753970 36603301828 45754127285 48699671960 54904952742 58439606352 73049507940 73206603656 91508254570 97399343920 109809905484 137262381855 146099015880 146413207312 183016509140 219619810968 274524763710 283675589167 292198031760 366033018280 439239621936 549049527420 567351178334 732066036560 851026767501 1098099054840 1134702356668 1418377945835 1702053535002 2196198109680 2269404713336 2836755891670 3404107070004 4255133837505 4538809426672 5673511783340 6808214140008 8510267675010 11347023566680 13616428280016 17020535350020 22694047133360 34041070700040 68082141400080