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214732145663 = 7419293193
BaseRepresentation
bin1100011111111100001…
…0001000001111111111
3202112021001102020002222
43013333002020033333
512004232412130123
6242351355035555
721341156060000
oct3077702101777
9675231366088
10214732145663
11830817752a2
123574943bbbb
1317331513c29
14a5708dd1a7
1558bb9c96c8
hex31ff0883ff

214732145663 has 80 divisors (see below), whose sum is σ = 274522648800. Its totient is φ = 167483925504.

The previous prime is 214732145653. The next prime is 214732145669. The reversal of 214732145663 is 366541237412.

It is a Cunningham number, because it is equal to 4633922-1.

It is not a de Polignac number, because 214732145663 - 222 = 214727951359 is a prime.

It is a super-2 number, since 2×2147321456632 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214732145669) 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 79 ways as a sum of consecutive naturals, for example, 1112601695 + ... + 1112601887.

It is an arithmetic number, because the mean of its divisors is an integer number (3431533110).

Almost surely, 2214732145663 is an apocalyptic number.

214732145663 is a deficient number, since it is larger than the sum of its proper divisors (59790503137).

214732145663 is an frugal number, since it uses more digits than its factorization.

214732145663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 248 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The spelling of 214732145663 in words is "two hundred fourteen billion, seven hundred thirty-two million, one hundred forty-five thousand, six hundred sixty-three".

Divisors: 1 7 19 29 49 133 193 203 343 551 841 931 1351 1421 2401 3667 3857 5597 5887 6517 9457 9947 15979 24389 25669 26999 39179 41209 45619 66199 69629 106343 111853 162313 170723 179683 188993 274253 288463 463391 463393 744401 782971 1136191 1195061 1257781 1322951 1919771 2019241 3083947 3243737 4707077 5210807 5480797 7953337 8365427 8804467 13438397 21587629 22706159 32949539 36475649 38365579 55673359 58557989 89434463 151113403 158943113 230646773 255329543 389713513 626041241 1057793821 1112601791 1614527411 4382288687 7404556747 11301691877 30676020809 214732145663