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20648253025 = 522929912
BaseRepresentation
bin10011001110101110…
…110101011001100001
31222022000022221020001
4103032232311121201
5314241423044100
613252523420001
71330453153261
oct231656653141
958260287201
1020648253025
118836445124
124003084601
131c40a996ca
14ddc42d7a1
1580cb1ad6a
hex4cebb5661

20648253025 has 27 divisors (see below), whose sum is σ = 26543954073. Its totient is φ = 15932901600.

The previous prime is 20648253019. The next prime is 20648253047. The reversal of 20648253025 is 52035284602.

The square root of 20648253025 is 143695.

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 283821409 + 20364431616 = 16847^2 + 142704^2 .

It is not a de Polignac number, because 20648253025 - 27 = 20648252897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20835280 + ... + 20836270.

Almost surely, 220648253025 is an apocalyptic number.

20648253025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20648253025 is the 143695-th square number.

20648253025 is the 71848-th centered octagonal number.

It is an amenable number.

20648253025 is a deficient number, since it is larger than the sum of its proper divisors (5895701048).

20648253025 is an frugal number, since it uses more digits than its factorization.

20648253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 20648253025 in words is "twenty billion, six hundred forty-eight million, two hundred fifty-three thousand, twenty-five".

Divisors: 1 5 25 29 145 725 841 991 4205 4955 21025 24775 28739 143695 718475 833431 982081 4167155 4910405 20835775 24552025 28480349 142401745 712008725 825930121 4129650605 20648253025