Search a number
-
+
220018680161280 = 21032571131379499
BaseRepresentation
bin110010000001101100010111…
…010001100110010000000000
31001212000120200010010002010100
4302001230113101212100000
5212314241224110130110
62055535104124202400
764225553000155140
oct6201542721462000
91055016603102110
10220018680161280
1164117442092000
1220815116999400
13959c898687690
143c48d64b60920
151a682cdd82bc0
hexc81b17466400

220018680161280 has 4224 divisors, whose sum is σ = 1047204587520000. Its totient is φ = 41583689072640.

The previous prime is 220018680161239. The next prime is 220018680161281. The reversal of 220018680161280 is 82161086810022.

220018680161280 is a `hidden beast` number, since 2 + 20 + 0 + 1 + 8 + 6 + 8 + 0 + 1 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×2200186801612802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (220018680161281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 440919198471 + ... + 440919198969.

Almost surely, 2220018680161280 is an apocalyptic number.

220018680161280 is a gapful number since it is divisible by the number (20) 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 220018680161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523602293760000).

220018680161280 is an abundant number, since it is smaller than the sum of its proper divisors (827185907358720).

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

220018680161280 is a wasteful number, since it uses less digits than its factorization.

220018680161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 220018680161280 in words is "two hundred twenty trillion, eighteen billion, six hundred eighty million, one hundred sixty-one thousand, two hundred eighty".