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979686223681 = 112172672792
BaseRepresentation
bin11100100000110011101…
…10010110111101000001
310110122202000110200001011
432100121312112331001
5112022344133124211
62030021151440521
7130531352334244
oct16203166267501
93418660420034
10979686223681
11348534373100
12139a52b26141
13714cb8ab759
14355ba60325b
151a73d1b9921
hexe419d96f41

979686223681 has 81 divisors (see below), whose sum is σ = 1176128666307. Its totient is φ = 815271050880.

The previous prime is 979686223673. The next prime is 979686223687. The reversal of 979686223681 is 186322686979.

The square root of 979686223681 is 989791.

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

979686223681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 762731489025 + 216954734656 = 873345^2 + 465784^2 .

It is not a de Polignac number, because 979686223681 - 23 = 979686223673 is a prime.

It is a super-2 number, since 2×9796862236812 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (979686223687) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12401091400 + ... + 12401091478.

Almost surely, 2979686223681 is an apocalyptic number.

979686223681 is the 989791-st square number.

979686223681 is the 494896-th centered octagonal number.

It is an amenable number.

979686223681 is a deficient number, since it is larger than the sum of its proper divisors (196442442626).

979686223681 is an equidigital number, since it uses as much as digits as its factorization.

979686223681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 67.

The spelling of 979686223681 in words is "nine hundred seventy-nine billion, six hundred eighty-six million, two hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 11 17 67 79 121 187 289 737 869 1139 1343 2057 3179 4489 5293 6241 8107 9559 12529 14773 19363 22831 34969 49379 58223 68651 76313 89981 106097 137819 162503 212993 251141 354631 418147 543169 640453 755161 839443 989791 1167067 1297321 1529677 1803649 2342923 2762551 3900941 4599617 6028727 7108499 9233873 10887701 12837737 14270531 16826447 19840139 28015849 42910351 50595787 66315997 78193489 102488359 120844483 156975841 185090917 218241529 308174339 476269433 729475967 860128379 1127371949 1329289313 3389917729 5238963763 8096580361 12401091439 14622182443 57628601393 89062383971 979686223681