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181041665046 = 231197107264289
BaseRepresentation
bin1010100010011011101…
…1001001010000010110
3122022022002211111001120
42220212323021100112
510431233131240141
6215100331104410
716036244522304
oct2504673112026
9568262744046
10181041665046
116a863333590
122b1065a2106
13140c26ac0b8
148a962b1274
154a98db9c66
hex2a26ec9416

181041665046 has 64 divisors (see below), whose sum is σ = 402803331840. Its totient is φ = 53787893760.

The previous prime is 181041665039. The next prime is 181041665059. The reversal of 181041665046 is 640566140181.

It is a junction number, because it is equal to n+sod(n) for n = 181041664989 and 181041665007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552870 + ... + 817158.

It is an arithmetic number, because the mean of its divisors is an integer number (6293802060).

Almost surely, 2181041665046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181041665046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201401665920).

181041665046 is an abundant number, since it is smaller than the sum of its proper divisors (221761666794).

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

181041665046 is a wasteful number, since it uses less digits than its factorization.

181041665046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264509.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 181041665046 in words is "one hundred eighty-one billion, forty-one million, six hundred sixty-five thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 97 107 194 214 291 321 582 642 1067 1177 2134 2354 3201 3531 6402 7062 10379 20758 31137 62274 114169 228338 264289 342507 528578 685014 792867 1585734 2907179 5814358 8721537 17443074 25636033 28278923 51272066 56557846 76908099 84836769 153816198 169673538 281996363 311068153 563992726 622136306 845989089 933204459 1691978178 1866408918 2743055531 5486111062 8229166593 16458333186 30173610841 60347221682 90520832523 181041665046