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68287812840 = 233251314591413
BaseRepresentation
bin111111100110010001…
…010101010011101000
320112021002120022122100
4333212101111103220
52104323140002330
651212044453400
74635143555232
oct774621252350
9215232508570
1068287812840
1126a62765565
121129954a260
1365937c1b60
14343b47b252
151b9a151060
hexfe64554e8

68287812840 has 96 divisors (see below), whose sum is σ = 239007361320. Its totient is φ = 16809306624.

The previous prime is 68287812823. The next prime is 68287812841. The reversal of 68287812840 is 4821878286.

68287812840 is a `hidden beast` number, since 6 + 8 + 287 + 81 + 284 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50492786436 + 17795026404 = 224706^2 + 133398^2 .

It is not an unprimeable number, because it can be changed into a prime (68287812841) by changing a digit.

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, 7291027 + ... + 7300386.

Almost surely, 268287812840 is an apocalyptic number.

68287812840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68287812840 is an abundant number, since it is smaller than the sum of its proper divisors (170719548480).

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

68287812840 is a wasteful number, since it uses less digits than its factorization.

68287812840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591443 (or 14591436 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 68287812840 in words is "sixty-eight billion, two hundred eighty-seven million, eight hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14591413 29182826 43774239 58365652 72957065 87548478 116731304 131322717 145914130 175096956 189688369 218871195 262645434 291828260 350193912 379376738 437742390 525290868 569065107 583656520 656613585 758753476 875484780 948441845 1050581736 1138130214 1313227170 1517506952 1707195321 1750969560 1896883690 2276260428 2626454340 2845325535 3414390642 3793767380 4552520856 5252908680 5690651070 6828781284 7587534760 8535976605 11381302140 13657562568 17071953210 22762604280 34143906420 68287812840