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116441075166 = 231323225111243
BaseRepresentation
bin110110001110001101…
…1011100110111011110
3102010112222102111102120
41230130123130313132
53401432403401131
6125254200203410
711261342544153
oct1543433346736
9363488374376
10116441075166
1145422a51229
121a697a69566
13ac98a892a0
1458c880a22a
153067809496
hex1b1c6dcdde

116441075166 has 96 divisors (see below), whose sum is σ = 263242369152. Its totient is φ = 34130712000.

The previous prime is 116441075159. The next prime is 116441075171. The reversal of 116441075166 is 661570144611.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10351141 + ... + 10362383.

It is an arithmetic number, because the mean of its divisors is an integer number (2742108012).

Almost surely, 2116441075166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116441075166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131621184576).

116441075166 is an abundant number, since it is smaller than the sum of its proper divisors (146801293986).

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

116441075166 is a wasteful number, since it uses less digits than its factorization.

116441075166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11558 (or 11535 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 116441075166 in words is "one hundred sixteen billion, four hundred forty-one million, seventy-five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 251 299 502 529 598 753 897 1058 1506 1587 1794 3174 3263 5773 6526 6877 9789 11243 11546 13754 17319 19578 20631 22486 33729 34638 41262 67458 75049 132779 146159 150098 225147 258589 265558 292318 398337 438477 450294 517178 775767 796674 876954 1551534 1726127 2821993 3361657 3452254 5178381 5643986 5947547 6723314 8465979 10084971 10356762 11895094 16931958 17842641 20169942 35685282 36685909 64905839 73371818 77318111 110057727 129811678 154636222 194717517 220115454 231954333 389435034 463908666 843775907 1492834297 1687551814 2531327721 2985668594 4478502891 5062655442 8957005782 19406845861 38813691722 58220537583 116441075166