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116110077984 = 25321921218947
BaseRepresentation
bin110110000100010110…
…0110011000000100000
3102002200220121002122200
41230020230303000200
53400243134443414
6125201253533200
711250213243615
oct1541054630040
9362626532580
10116110077984
114527312613a
121a605044200
13ac45327674
14589688850c
153048726109
hex1b08b33020

116110077984 has 72 divisors (see below), whose sum is σ = 347566368240. Its totient is φ = 36666338688.

The previous prime is 116110077983. The next prime is 116110077989. The reversal of 116110077984 is 489770011611.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116110077983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10604002 + ... + 10614945.

It is an arithmetic number, because the mean of its divisors is an integer number (4827310670).

Almost surely, 2116110077984 is an apocalyptic number.

It is an amenable number.

116110077984 is an abundant number, since it is smaller than the sum of its proper divisors (231456290256).

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

116110077984 is a wasteful number, since it uses less digits than its factorization.

116110077984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21218982 (or 21218971 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 116110077984 in words is "one hundred sixteen billion, one hundred ten million, seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 21218947 42437894 63656841 84875788 127313682 169751576 190970523 254627364 339503152 381941046 403159993 509254728 679006304 763882092 806319986 1018509456 1209479979 1527764184 1612639972 2037018912 2418959958 3055528368 3225279944 3628439937 4837919916 6111056736 6450559888 7256879874 9675839832 12901119776 14513759748 19351679664 29027519496 38703359328 58055038992 116110077984