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21149012329 = 41235472
BaseRepresentation
bin10011101100100101…
…000101000101101001
32000120220121010211221
4103230211011011221
5321303121343304
613414332422041
71346043432034
oct235445050551
960526533757
1021149012329
118a7307aa95
124122917921
131cc07592a3
141048b4201b
1583ba84054
hex4ec945169

21149012329 has 9 divisors (see below), whose sum is σ = 21683536311. Its totient is φ = 20627365680.

The previous prime is 21149012317. The next prime is 21149012359. The reversal of 21149012329 is 92321094112.

The square root of 21149012329 is 145427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1019077929 + 20129934400 = 31923^2 + 141880^2 .

It is not a de Polignac number, because 21149012329 - 29 = 21149011817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21149012294 and 21149012303.

It is not an unprimeable number, because it can be changed into a prime (21149012359) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5960734 + ... + 5964280.

Almost surely, 221149012329 is an apocalyptic number.

21149012329 is the 145427-th square number.

21149012329 is the 72714-th centered octagonal number.

It is an amenable number.

21149012329 is a deficient number, since it is larger than the sum of its proper divisors (534523982).

21149012329 is an frugal number, since it uses more digits than its factorization.

21149012329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 21149012329 in words is "twenty-one billion, one hundred forty-nine million, twelve thousand, three hundred twenty-nine".

Divisors: 1 41 1681 3547 145427 5962507 12581209 515829569 21149012329