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65780831023208 = 23717787103984503
BaseRepresentation
bin11101111010011110010110…
…00100001111000001101000
322121220120211012211110122122
432331033023010033001220
532110223120220220313
6351523144021410412
716566336213042110
oct1675171304170150
9277816735743578
1065780831023208
1119a61548234384
127464923269a08
132a9214b439cb2
141235b48682040
1579119c79e708
hex3bd3cb10f068

65780831023208 has 128 divisors (see below), whose sum is σ = 149585871052800. Its totient is φ = 26473911450624.

The previous prime is 65780831023181. The next prime is 65780831023217. The reversal of 65780831023208 is 80232013808756.

It is a happy number.

65780831023208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×657808310232082 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65780831023208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778401485 + ... + 778485987.

It is an arithmetic number, because the mean of its divisors is an integer number (1168639617600).

Almost surely, 265780831023208 is an apocalyptic number.

65780831023208 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65780831023208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74792935526400).

65780831023208 is an abundant number, since it is smaller than the sum of its proper divisors (83805040029592).

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

65780831023208 is a wasteful number, since it uses less digits than its factorization.

65780831023208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86359 (or 86355 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 65780831023208 in words is "sixty-five trillion, seven hundred eighty billion, eight hundred thirty-one million, twenty-three thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 787 952 1039 1574 2078 3148 4156 5509 6296 7273 8312 11018 13379 14546 17663 22036 26758 29092 35326 44072 53516 58184 70652 84503 93653 107032 123641 141304 169006 187306 247282 338012 374612 494564 591521 676024 749224 817693 989128 1183042 1436551 1635386 2366084 2873102 3270772 4732168 5723851 5746204 6541544 10055857 11447702 11492408 13900781 20111714 22895404 27801562 40223428 45790808 55603124 66503861 80446856 87798617 97305467 111206248 133007722 175597234 194610934 266015444 351194468 389221868 465527027 532030888 614590319 702388936 778443736 931054054 1130565637 1229180638 1492576489 1862108108 2261131274 2458361276 2985152978 3724216216 4522262548 4916722552 5970305956 7913959459 9044525096 10448035423 11940611912 15827918918 20896070846 31655837836 41792141692 63311675672 69097511579 83584283384 138195023158 276390046316 483682581053 552780092632 967365162106 1174657696843 1934730324212 2349315393686 3869460648424 4698630787372 8222603877901 9397261574744 16445207755802 32890415511604 65780831023208