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220748201408808 = 23323065947241789
BaseRepresentation
bin110010001100010011110010…
…001000010011100100101000
31001221121022200201001020022100
4302030103302020103210220
5212413214304030040213
62101254153532253400
764332350134356543
oct6214236210234450
91057538621036270
10220748201408808
116437887188a927
1220912592011260
139623609c63808
143c723aca8985a
151a7c2799e6773
hexc8c4f2213928

220748201408808 has 24 divisors (see below), whose sum is σ = 597859712149050. Its totient is φ = 73582733802912.

The previous prime is 220748201408807. The next prime is 220748201408863. The reversal of 220748201408808 is 808804102847022.

220748201408808 is a `hidden beast` number, since 2 + 20 + 7 + 4 + 8 + 201 + 408 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211562319413124 + 9185881995684 = 14545182^2 + 3030822^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (220748201408807) 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 5 ways as a sum of consecutive naturals, for example, 1532973620823 + ... + 1532973620966.

Almost surely, 2220748201408808 is an apocalyptic number.

It is an amenable number.

220748201408808 is an abundant number, since it is smaller than the sum of its proper divisors (377111510740242).

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

220748201408808 is a wasteful number, since it uses less digits than its factorization.

220748201408808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065947241801 (or 3065947241794 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 220748201408808 in words is "two hundred twenty trillion, seven hundred forty-eight billion, two hundred one million, four hundred eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3065947241789 6131894483578 9197841725367 12263788967156 18395683450734 24527577934312 27593525176101 36791366901468 55187050352202 73582733802936 110374100704404 220748201408808