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78568439565456 = 2436820732
BaseRepresentation
bin10001110111010100100011…
…111011100100110010010000
3101022012001212122100001000000
4101313110203323210302100
540244231131012043311
6435033502020130000
722356245114156511
oct2167244373446220
9338161778301000
1078568439565456
11230417629502a5
12898b10b536900
1334abc83801309
141558a389c8a08
15913b2abb9056
hex477523ee4c90

78568439565456 has 105 divisors (see below), whose sum is σ = 228237900751849. Its totient is φ = 26189160755328.

The previous prime is 78568439565437. The next prime is 78568439565457. The reversal of 78568439565456 is 65456593486587.

The square root of 78568439565456 is 8863884.

It is a perfect power (a square), and thus also a powerful number.

78568439565456 is a `hidden beast` number, since 7 + 8 + 5 + 6 + 8 + 4 + 3 + 9 + 565 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231495699600 + 78336943865856 = 481140^2 + 8850816^2 .

It is a super-2 number, since 2×785684395654562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78568439565457) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 957258436 + ... + 957340508.

Almost surely, 278568439565456 is an apocalyptic number.

78568439565456 is the 8863884-th square number.

It is an amenable number.

78568439565456 is an abundant number, since it is smaller than the sum of its proper divisors (149669461186393).

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

78568439565456 is an frugal number, since it uses more digits than its factorization.

78568439565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164172 (or 82078 counting only the distinct ones).

The product of its digits is 26127360000, while the sum is 81.

78568439565456 divided by its sum of digits (81) gives a square (969980735376 = 9848762).

The spelling of 78568439565456 in words is "seventy-eight trillion, five hundred sixty-eight billion, four hundred thirty-nine million, five hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 82073 164146 246219 328292 492438 656584 738657 984876 1313168 1477314 1969752 2215971 2954628 3939504 4431942 5909256 6647913 8863884 11818512 13295826 17727768 19943739 26591652 35455536 39887478 53183304 59831217 79774956 106366608 119662434 159549912 239324868 319099824 478649736 957299472 6735977329 13471954658 20207931987 26943909316 40415863974 53887818632 60623795961 80831727948 107775637264 121247591922 161663455896 181871387883 242495183844 323326911792 363742775766 484990367688 545614163649 727485551532 969980735376 1091228327298 1454971103064 1636842490947 2182456654596 2909942206128 3273684981894 4364913309192 4910527472841 6547369963788 8729826618384 9821054945682 13094739927576 19642109891364 26189479855152 39284219782728 78568439565456