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20971384225 = 5211226332
BaseRepresentation
bin10011100001111111…
…011110110110100001
32000010112100200220021
4103201333132312201
5320422133243400
613344545313441
71341455552611
oct234177366641
960115320807
1020971384225
118991888400
124093335881
131c92a05bbc
14102d304a41
1582b19871a
hex4e1fdeda1

20971384225 has 27 divisors (see below), whose sum is σ = 28594336729. Its totient is φ = 15246123200.

The previous prime is 20971384201. The next prime is 20971384243. The reversal of 20971384225 is 52248317902.

The square root of 20971384225 is 144815.

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 5013631249 + 15957752976 = 70807^2 + 126324^2 .

It is not a de Polignac number, because 20971384225 - 211 = 20971382177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7963509 + ... + 7966141.

Almost surely, 220971384225 is an apocalyptic number.

20971384225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20971384225 is the 144815-th square number.

20971384225 is the 72408-th centered octagonal number.

It is an amenable number.

20971384225 is a deficient number, since it is larger than the sum of its proper divisors (7622952504).

20971384225 is an frugal number, since it uses more digits than its factorization.

20971384225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 20971384225 in words is "twenty billion, nine hundred seventy-one million, three hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2633 3025 13165 28963 65825 144815 318593 724075 1592965 6932689 7964825 34663445 76259579 173317225 381297895 838855369 1906489475 4194276845 20971384225