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118949216540 = 225711345722343
BaseRepresentation
bin110111011000111101…
…1010000000100011100
3102101000202221021120112
41232301323100010130
53422101444412130
6130351114305152
711410446441530
oct1566173200434
9371022837515
10118949216540
114649a805a40
121b077a281b8
13b2a85a92cb
145a85979bc0
153162ae2495
hex1bb1ed011c

118949216540 has 96 divisors (see below), whose sum is σ = 311534705664. Its totient is φ = 37062696960.

The previous prime is 118949216453. The next prime is 118949216543. The reversal of 118949216540 is 45612949811.

It is a happy number.

118949216540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1189492165402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118949216543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5312609 + ... + 5334951.

It is an arithmetic number, because the mean of its divisors is an integer number (3245153184).

Almost surely, 2118949216540 is an apocalyptic number.

118949216540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118949216540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155767352832).

118949216540 is an abundant number, since it is smaller than the sum of its proper divisors (192585489124).

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

118949216540 is a wasteful number, since it uses less digits than its factorization.

118949216540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25827 (or 25825 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The spelling of 118949216540 in words is "one hundred eighteen billion, nine hundred forty-nine million, two hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3457 6914 13828 17285 22343 24199 34570 38027 44686 48398 69140 76054 89372 96796 111715 120995 152108 156401 190135 223430 241990 245773 266189 312802 380270 446860 483980 491546 532378 625604 760540 782005 983092 1064756 1228865 1330945 1564010 1720411 2457730 2661890 3128020 3440822 4915460 5323780 6881644 8602055 17204110 34408220 77239751 154479502 308959004 386198755 540678257 772397510 849637261 1081356514 1544795020 1699274522 2162713028 2703391285 3398549044 4248186305 5406782570 5947460827 8496372610 10813565140 11894921654 16992745220 23789843308 29737304135 59474608270 118949216540