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116541041463 = 33711215973191
BaseRepresentation
bin110110010001001100…
…0110010101100110111
3102010210221112022102000
41230202120302230313
53402134001311323
6125312130550343
711263665336120
oct1544230625467
9363727468360
10116541041463
114547441a400
121a7054383b3
13acb36ba642
1458d7bcd047
1530714a3e43
hex1b22632b37

116541041463 has 96 divisors (see below), whose sum is σ = 217090728960. Its totient is φ = 60483931200.

The previous prime is 116541041447. The next prime is 116541041467. The reversal of 116541041463 is 364140145611.

116541041463 is a `hidden beast` number, since 1 + 16 + 541 + 0 + 41 + 4 + 63 = 666.

It is not a de Polignac number, because 116541041463 - 24 = 116541041447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116541041467) 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 95 ways as a sum of consecutive naturals, for example, 36520198 + ... + 36523388.

It is an arithmetic number, because the mean of its divisors is an integer number (2261361760).

Almost surely, 2116541041463 is an apocalyptic number.

116541041463 is a deficient number, since it is larger than the sum of its proper divisors (100549687497).

116541041463 is a wasteful number, since it uses less digits than its factorization.

116541041463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 116541041463 in words is "one hundred sixteen billion, five hundred forty-one million, forty-one thousand, four hundred sixty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 693 847 1089 1597 2079 2541 3191 3267 4791 7623 9573 11179 14373 17567 22337 22869 28719 33537 35101 43119 52701 67011 86157 100611 105303 122969 158103 193237 201033 245707 301833 315909 368907 386111 474309 579711 603099 737121 947727 1106721 1158333 1352659 1739133 2211363 2702777 3320163 3474999 4057977 5096027 5217399 6634089 8108331 10424997 12173931 15288081 24324993 35672189 36521793 45864243 56056297 72974979 107016567 137592729 168168891 321049701 392394079 504506673 616619267 963149103 1177182237 1513520019 1849857801 3531546711 4316334869 5549573403 10594640133 12949004607 16648720209 38847013821 116541041463