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216608013518140 = 225232014923370241
BaseRepresentation
bin110001010000000011111011…
…101100111000010100111100
31001101221112010220002211002101
4301100003323230320110330
5211342401202430040030
62044404203033234444
763424261334063056
oct6120037354702474
91041845126084071
10216608013518140
1163021a40743082
1220364101562a24
1393b308169b7aa
143b6bc531ac8d6
151a097115a37ca
hexc500fbb3853c

216608013518140 has 48 divisors (see below), whose sum is σ = 474677659310400. Its totient is φ = 82871992811520.

The previous prime is 216608013518131. The next prime is 216608013518173. The reversal of 216608013518140 is 41815310806612.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 15 ways as a sum of consecutive naturals, for example, 2416581 + ... + 20953660.

It is an arithmetic number, because the mean of its divisors is an integer number (9889117902300).

Almost surely, 2216608013518140 is an apocalyptic number.

216608013518140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216608013518140 is an abundant number, since it is smaller than the sum of its proper divisors (258069645792260).

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

216608013518140 is a wasteful number, since it uses less digits than its factorization.

216608013518140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23390422 (or 23390420 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 216608013518140 in words is "two hundred sixteen trillion, six hundred eight billion, thirteen million, five hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 20149 40298 80596 100745 201490 402980 463427 926854 1853708 2317135 4634270 9268540 23370241 46740482 93480964 116851205 233702410 467404820 537515543 1075031086 2150062172 2687577715 5375155430 10750310860 470886985909 941773971818 1883547943636 2354434929545 4708869859090 9417739718180 10830400675907 21660801351814 43321602703628 54152003379535 108304006759070 216608013518140