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18532738225 = 5219214332
BaseRepresentation
bin10001010000101000…
…110010010010110001
31202211120121122111001
4101100220302102301
5300423340110400
612302552522001
71224154450531
oct212050622261
952746548431
1018532738225
11795027a591
1237126b0301
131994708ac1
14c7b4a54c1
1573703ba6a
hex450a324b1

18532738225 has 27 divisors (see below), whose sum is σ = 24270695553. Its totient is φ = 14036063040.

The previous prime is 18532738177. The next prime is 18532738243. The reversal of 18532738225 is 52283723581.

The square root of 18532738225 is 136135.

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 863948449 + 17668789776 = 29393^2 + 132924^2 .

It is not a de Polignac number, because 18532738225 - 217 = 18532607153 is a prime.

It is a super-2 number, since 2×185327382252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12932109 + ... + 12933541.

Almost surely, 218532738225 is an apocalyptic number.

18532738225 is the 136135-th square number.

18532738225 is the 68068-th centered octagonal number.

It is an amenable number.

18532738225 is a deficient number, since it is larger than the sum of its proper divisors (5737957328).

18532738225 is an frugal number, since it uses more digits than its factorization.

18532738225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1457 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The spelling of 18532738225 in words is "eighteen billion, five hundred thirty-two million, seven hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1433 1805 7165 9025 27227 35825 136135 517313 680675 2053489 2586565 10267445 12932825 39016291 51337225 195081455 741309529 975407275 3706547645 18532738225