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21571017512 = 23112157141937
BaseRepresentation
bin10100000101101110…
…111001101100101000
32001200022200020010112
4110011232321230220
5323134140030022
613524245433452
71362356423612
oct240556715450
961608606115
1021571017512
11916a305800
12422010b888
13205a0038b5
141088bd3db2
15863b428e2
hex505bb9b28

21571017512 has 48 divisors (see below), whose sum is σ = 44740276980. Its totient is φ = 9742487040.

The previous prime is 21571017499. The next prime is 21571017529.

21571017512 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21423005956 + 148011556 = 146366^2 + 12166^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81008 + ... + 222944.

Almost surely, 221571017512 is an apocalyptic number.

21571017512 is a gapful number since it is divisible by the number (22) 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 21571017512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22370138490).

21571017512 is an abundant number, since it is smaller than the sum of its proper divisors (23169259468).

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

21571017512 is a wasteful number, since it uses less digits than its factorization.

21571017512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142122 (or 142107 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 32.

The spelling of 21571017512 in words is "twenty-one billion, five hundred seventy-one million, seventeen thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 157 242 314 484 628 968 1256 1727 3454 6908 13816 18997 37994 75988 141937 151976 283874 567748 1135496 1561307 3122614 6245228 12490456 17174377 22284109 34348754 44568218 68697508 89136436 137395016 178272872 245125199 490250398 980500796 1961001592 2696377189 5392754378 10785508756 21571017512