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20648827809 = 3219225212
BaseRepresentation
bin10011001110110001…
…000001101110100001
31222022001102010200100
4103032301001232201
5314242044442214
613252544013013
71330461066111
oct231661015641
958261363610
1020648827809
1188367a7a55
124003301169
131c40c3b20c
14ddc53d041
1580cbd1309
hex4cec41ba1

20648827809 has 27 divisors (see below), whose sum is σ = 31490990739. Its totient is φ = 13036191840.

The previous prime is 20648827781. The next prime is 20648827811. The reversal of 20648827809 is 90872884602.

The square root of 20648827809 is 143697.

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., 16378209 + 20632449600 = 4047^2 + 143640^2 .

It is not a de Polignac number, because 20648827809 - 25 = 20648827777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20648827879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8189469 + ... + 8191989.

Almost surely, 220648827809 is an apocalyptic number.

20648827809 is the 143697-th square number.

20648827809 is the 71849-th centered octagonal number.

It is an amenable number.

20648827809 is a deficient number, since it is larger than the sum of its proper divisors (10842162930).

20648827809 is an frugal number, since it uses more digits than its factorization.

20648827809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20648827809 in words is "twenty billion, six hundred forty-eight million, eight hundred twenty-seven thousand, eight hundred nine".

Divisors: 1 3 9 19 57 171 361 1083 2521 3249 7563 22689 47899 143697 431091 910081 2730243 6355441 8190729 19066323 57198969 120753379 362260137 1086780411 2294314201 6882942603 20648827809