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68474588547486 = 231129433732230541
BaseRepresentation
bin11111001000110111110111…
…00001101100100110011110
322222110002212210212002112010
433210123323201230212132
532433341424132004421
6401344443002052050
720265061065152052
oct1744337341544636
9288402783762463
1068474588547486
111a8aaa01119410
12781aa011aa026
132c29183a65884
1412ca28b349c62
157db2ab7a2076
hex3e46fb86c99e

68474588547486 has 128 divisors (see below), whose sum is σ = 158569052336640. Its totient is φ = 19515975897600.

The previous prime is 68474588547427. The next prime is 68474588547493.

68474588547486 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 68474588547399 and 68474588547408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29583376 + ... + 31813916.

It is an arithmetic number, because the mean of its divisors is an integer number (1238820721380).

Almost surely, 268474588547486 is an apocalyptic number.

68474588547486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68474588547486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79284526168320).

68474588547486 is an abundant number, since it is smaller than the sum of its proper divisors (90094463789154).

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

68474588547486 is a wasteful number, since it uses less digits than its factorization.

68474588547486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231002.

The product of its digits is 46242201600, while the sum is 84.

The spelling of 68474588547486 in words is "sixty-eight trillion, four hundred seventy-four billion, five hundred eighty-eight million, five hundred forty-seven thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 22 29 33 43 58 66 86 87 129 174 258 319 373 473 638 746 946 957 1119 1247 1419 1914 2238 2494 2838 3741 4103 7482 8206 10817 12309 13717 16039 21634 24618 27434 32078 32451 41151 48117 64902 82302 96234 118987 176429 237974 352858 356961 465131 529287 713922 930262 1058574 1395393 2230541 2790786 4461082 5116441 6691623 10232882 13383246 15349323 24535951 30698646 49071902 64685689 73607853 95913263 129371378 147215706 191826526 194057067 287739789 388114134 575479578 711542579 831991793 1055045893 1423085158 1663983586 2110091786 2134627737 2495975379 2781484627 3165137679 4269255474 4991950758 5562969254 6330275358 8344453881 9151909723 16688907762 18303819446 24127761997 27455729169 30596330897 35775647099 48255523994 54911458338 61192661794 71551294198 72383285991 91788992691 107326941297 144766571982 183577985382 214653882594 265405381967 393532118089 530810763934 787064236178 796216145901 1037493765871 1180596354267 1592432291802 2074987531742 2361192708534 3112481297613 6224962595226 11412431424581 22824862849162 34237294273743 68474588547486