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426133414161 = 33721324776639
BaseRepresentation
bin1100011001101111000…
…01111110000100010001
31111201220222012100202000
412030313201332010101
523440210123223121
6523432445544213
742533661153600
oct6146741760421
91451828170660
10426133414161
111547a4226244
126a707275069
1331251924510
14168a6ca5a37
15b140d52526
hex633787e111

426133414161 has 48 divisors (see below), whose sum is σ = 790870348800. Its totient is φ = 224773659936.

The previous prime is 426133414159. The next prime is 426133414171. The reversal of 426133414161 is 161414331624.

426133414161 is a `hidden beast` number, since 4 + 2 + 613 + 34 + 1 + 4 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 426133414161 - 21 = 426133414159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (426133414171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12371121 + ... + 12405518.

It is an arithmetic number, because the mean of its divisors is an integer number (16476465600).

Almost surely, 2426133414161 is an apocalyptic number.

It is an amenable number.

426133414161 is a deficient number, since it is larger than the sum of its proper divisors (364736934639).

426133414161 is a wasteful number, since it uses less digits than its factorization.

426133414161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24776675 (or 24776662 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 426133414161 its reverse (161414331624), we get a palindrome (587547745785).

The spelling of 426133414161 in words is "four hundred twenty-six billion, one hundred thirty-three million, four hundred fourteen thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 5733 17199 24776639 74329917 173436473 222989751 322096307 520309419 668969253 966288921 1214055311 1560928257 2254674149 2898866763 3642165933 4682784771 6764022447 8696600289 10926497799 15782719043 20292067341 32779493397 47348157129 60876202023 142044471387 426133414161