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80435468083068 = 22337254341838821
BaseRepresentation
bin10010010010011111010111…
…100000001001111101111100
3101112210120000001212200211000
4102102133113200021331330
541020323314312124233
6443023313252530300
722641161611550340
oct2222372740117574
9345716001780730
1080435468083068
11236a154386a28a
129030b23620990
1335b6055682957
1415c11514ab620
159474a0023d13
hex4927d7809f7c

80435468083068 has 96 divisors (see below), whose sum is σ = 238421037496320. Its totient is φ = 22972524575040.

The previous prime is 80435468083037. The next prime is 80435468083169. The reversal of 80435468083068 is 86038086453408.

80435468083068 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 546 + 8 + 0 + 83 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 80435468082996 and 80435468083014.

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, 18996903 + ... + 22841918.

It is an arithmetic number, because the mean of its divisors is an integer number (2483552473920).

Almost surely, 280435468083068 is an apocalyptic number.

It is an amenable number.

80435468083068 is an abundant number, since it is smaller than the sum of its proper divisors (157985569413252).

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

80435468083068 is a wasteful number, since it uses less digits than its factorization.

80435468083068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41841384 (or 41841376 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 80435468083068 in words is "eighty trillion, four hundred thirty-five billion, four hundred sixty-eight million, eighty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2543 5086 7629 10172 15258 17801 22887 30516 35602 45774 53403 68661 71204 91548 106806 137322 160209 213612 274644 320418 480627 640836 961254 1922508 41838821 83677642 125516463 167355284 251032926 292871747 376549389 502065852 585743494 753098778 878615241 1129648167 1171486988 1506197556 1757230482 2259296334 2635845723 3514460964 4518592668 5271691446 7907537169 10543382892 15815074338 31630148676 106396121803 212792243606 319188365409 425584487212 638376730818 744772852621 957565096227 1276753461636 1489545705242 1915130192454 2234318557863 2872695288681 2979091410484 3830260384908 4468637115726 5745390577362 6702955673589 8937274231452 11490781154724 13405911347178 20108867020767 26811822694356 40217734041534 80435468083068