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81403533530418 = 23112898221153247
BaseRepresentation
bin10010100000100100111100…
…101100110001010100110010
3101200020002202012210202120210
4102200210330230301110302
541132203414040433133
6445044133403044550
723101132306231341
oct2240447454612462
9350202665722523
1081403533530418
1123a35054546100
129168672810756
133656421845598
141615d485a9b58
1596275cdca763
hex4a093cb31532

81403533530418 has 96 divisors (see below), whose sum is σ = 180987126243840. Its totient is φ = 24387445843200.

The previous prime is 81403533530413. The next prime is 81403533530441.

81403533530418 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×814035335304182 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81403533530413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531115071 + ... + 531268317.

It is an arithmetic number, because the mean of its divisors is an integer number (1885282565040).

Almost surely, 281403533530418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81403533530418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90493563121920).

81403533530418 is an abundant number, since it is smaller than the sum of its proper divisors (99583592713422).

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

81403533530418 is a wasteful number, since it uses less digits than its factorization.

81403533530418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161584 (or 161573 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 81403533530418 in words is "eighty-one trillion, four hundred three billion, five hundred thirty-three million, five hundred thirty thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 89 121 178 242 267 363 534 726 979 1958 2937 5874 8221 10769 16442 21538 24663 32307 49326 64614 90431 153247 180862 271293 306494 459741 542586 731669 919482 994741 1463338 1685717 1989482 2195007 2984223 3371434 4390014 5057151 5968446 8048359 10114302 13638983 16096718 18542887 24145077 27277966 37085774 40916949 48290154 55628661 81833898 88531949 111257322 150028813 177063898 265595847 300057626 450086439 531191694 900172878 1259843587 1650316943 2519687174 3300633886 3779530761 4950950829 7559061522 9901901658 13858279457 27716558914 41574838371 83149676742 112126079243 152441074027 224252158486 304882148054 336378237729 457323222081 672756475458 914646444162 1233386871673 2466773743346 3700160615019 7400321230038 13567255588403 27134511176806 40701766765209 81403533530418