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644684707486446 = 231119717240882219
BaseRepresentation
bin1001001010010101100101101…
…0111110110101101011101110
310010112122020220201110002211220
42102211121122332311223232
51134000003240104031241
610203044022132324210
7252535635020045034
oct22245313276655356
93115566821402756
10644684707486446
11177464281531520
1260380270173666
1321895679014653
14b52ac98d82554
154e7eade607166
hex24a565afb5aee

644684707486446 has 64 divisors (see below), whose sum is σ = 1501469337139200. Its totient is φ = 182470231893600.

The previous prime is 644684707486381. The next prime is 644684707486481.

644684707486446 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3620352076 + ... + 3620530143.

It is an arithmetic number, because the mean of its divisors is an integer number (23460458392800).

Almost surely, 2644684707486446 is an apocalyptic number.

644684707486446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

644684707486446 is an abundant number, since it is smaller than the sum of its proper divisors (856784629652754).

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

644684707486446 is a wasteful number, since it uses less digits than its factorization.

644684707486446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240882325.

The product of its (nonzero) digits is 16647192576, while the sum is 78.

The spelling of 644684707486446 in words is "six hundred forty-four trillion, six hundred eighty-four billion, seven hundred seven million, four hundred eighty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 142 209 213 418 426 627 781 1254 1349 1562 2343 2698 4047 4686 8094 14839 29678 44517 89034 7240882219 14481764438 21722646657 43445293314 79649704409 137576762161 159299408818 238949113227 275153524322 412730286483 477898226454 514102637549 825460572966 1028205275098 1513344383771 1542307912647 3026688767542 3084615825294 4540033151313 5655129013039 9080066302626 9767950113431 11310258026078 16965387039117 19535900226862 29303850340293 33930774078234 58607700680586 107447451247741 214894902495482 322342353743223 644684707486446