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20982391609 = 41235332
BaseRepresentation
bin10011100010101001…
…011110001100111001
32000011022001221012011
4103202221132030321
5320432443012414
613350021245521
71341651246244
oct234251361471
960138057164
1020982391609
118998016413
124096b638a1
131c9508b14a
14103096c25b
1582c11edc4
hex4e2a5e339

20982391609 has 9 divisors (see below), whose sum is σ = 21512728429. Its totient is φ = 20464831840.

The previous prime is 20982391603. The next prime is 20982391621. The reversal of 20982391609 is 90619328902.

The square root of 20982391609 is 144853.

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

It can be written as a sum of positive squares in 4 ways, for example, as 996349225 + 19986042384 = 31565^2 + 141372^2 .

It is not a de Polignac number, because 20982391609 - 27 = 20982391481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20982391603) 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, 5937207 + ... + 5940739.

Almost surely, 220982391609 is an apocalyptic number.

20982391609 is the 144853-rd square number.

20982391609 is the 72427-th centered octagonal number.

It is an amenable number.

20982391609 is a deficient number, since it is larger than the sum of its proper divisors (530336820).

20982391609 is an frugal number, since it uses more digits than its factorization.

20982391609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 20982391609 by its sum of digits (49), we get a square (1028137188841 = 10139712).

The spelling of 20982391609 in words is "twenty billion, nine hundred eighty-two million, three hundred ninety-one thousand, six hundred nine".

Divisors: 1 41 1681 3533 144853 5938973 12482089 511765649 20982391609