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67980787025816 = 237173112911784273
BaseRepresentation
bin11110111010100000000101…
…01010011000011110011000
322220200220021221011201001002
433131100002222120132120
532402244122434311231
6400325535321444132
720214310163366660
oct1735200252303630
9286626257151032
1067980787025816
111a72a543025485
12775b170040648
132bc1739b57372
1412b040543d1a0
157cd509e100cb
hex3dd402a98798

67980787025816 has 128 divisors (see below), whose sum is σ = 159341092392960. Its totient is φ = 26515709337600.

The previous prime is 67980787025803. The next prime is 67980787025843. The reversal of 67980787025816 is 61852078708976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37207856 + ... + 38992128.

It is an arithmetic number, because the mean of its divisors is an integer number (1244852284320).

Almost surely, 267980787025816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67980787025816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79670546196480).

67980787025816 is an abundant number, since it is smaller than the sum of its proper divisors (91360305367144).

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

67980787025816 is a wasteful number, since it uses less digits than its factorization.

67980787025816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785625 (or 1785621 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 74.

The spelling of 67980787025816 in words is "sixty-seven trillion, nine hundred eighty billion, seven hundred eighty-seven million, twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1291 1736 2108 2582 3689 4216 5164 7378 9037 10328 14756 18074 21947 29512 36148 40021 43894 72296 80042 87788 153629 160084 175576 280147 307258 320168 560294 614516 680357 1120588 1229032 1360714 1784273 2241176 2721428 3568546 4762499 5442856 7137092 9524998 12489911 14274184 19049996 24979822 30332641 38099992 49959644 55312463 60665282 99919288 110624926 121330564 212328487 221249852 242661128 387187241 424656974 442499704 774374482 849313948 940311871 1548748964 1698627896 1880623742 2303496443 3097497928 3761247484 4606992886 6582183097 7522494968 9213985772 13164366194 16124475101 18427971544 26328732388 32248950202 39159439531 52657464776 64497900404 71408389733 78318879062 128995800808 142816779466 156637758124 274116076717 285633558932 313275516248 499858728131 548232153434 571267117864 999717456262 1096464306868 1213942625461 1999434912524 2192928613736 2427885250922 3998869825048 4855770501844 8497598378227 9711541003688 16995196756454 33990393512908 67980787025816