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21466066412 = 227318186441
BaseRepresentation
bin10011111111011110…
…100010110111101100
32001102000012011021202
4103333132202313230
5322430303111122
613510020145032
71356643361000
oct237736426754
961360164252
1021466066412
11911604245a
1241b0b38178
13204134865b
141078cb4700
15859810e92
hex4ff7a2dec

21466066412 has 48 divisors (see below), whose sum is σ = 44050843200. Its totient is φ = 9148809600.

The previous prime is 21466066397. The next prime is 21466066439.

21466066412 is nontrivially palindromic in base 10.

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, 205112 + ... + 291552.

It is an arithmetic number, because the mean of its divisors is an integer number (917725900).

Almost surely, 221466066412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21466066412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025421600).

21466066412 is an abundant number, since it is smaller than the sum of its proper divisors (22584776788).

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

21466066412 is a wasteful number, since it uses less digits than its factorization.

21466066412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86647 (or 86631 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 21466066412 in words is "twenty-one billion, four hundred sixty-six million, sixty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 343 362 686 724 1267 1372 2534 5068 8869 17738 35476 62083 86441 124166 172882 248332 345764 605087 1210174 2420348 4235609 8471218 15645821 16942436 29649263 31291642 59298526 62583284 109520747 118597052 219041494 438082988 766645229 1533290458 3066580916 5366516603 10733033206 21466066412