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20421214218 = 2321134511901
BaseRepresentation
bin10011000001001100…
…110000000000001010
31221201012010011112100
4103001030300000022
5313310312323333
613214213254230
71322025312456
oct230114600012
957635104470
1020421214218
11872a274549
123b5b034376
131c05a36212
14dba20d666
157e7c20213
hex4c133000a

20421214218 has 12 divisors (see below), whose sum is σ = 44245964178. Its totient is φ = 6807071400.

The previous prime is 20421214213. The next prime is 20421214241. The reversal of 20421214218 is 81241212402.

20421214218 is a `hidden beast` number, since 2 + 0 + 421 + 21 + 4 + 218 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16974702369 + 3446511849 = 130287^2 + 58707^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20421214191 and 20421214200.

It is not an unprimeable number, because it can be changed into a prime (20421214213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567255933 + ... + 567255968.

Almost surely, 220421214218 is an apocalyptic number.

20421214218 is an abundant number, since it is smaller than the sum of its proper divisors (23824749960).

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

20421214218 is a wasteful number, since it uses less digits than its factorization.

20421214218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134511909 (or 1134511906 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 20421214218 in words is "twenty billion, four hundred twenty-one million, two hundred fourteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 1134511901 2269023802 3403535703 6807071406 10210607109 20421214218