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18410419225 = 5211224672
BaseRepresentation
bin10001001001010110…
…001011010000011001
31202112001110012100201
4101021112023100121
5300201031403400
612242503102201
71221140660422
oct211126132031
952461405321
1018410419225
117898224500
123699741961
13197527c4b3
14c69144649
1572b42906a
hex44958b419

18410419225 has 27 divisors (see below), whose sum is σ = 25103120511. Its totient is φ = 13383968400.

The previous prime is 18410419219. The next prime is 18410419241. The reversal of 18410419225 is 52291401481.

The square root of 18410419225 is 135685.

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., 6627750921 + 11782668304 = 81411^2 + 108548^2 .

It is not a de Polignac number, because 18410419225 - 23 = 18410419217 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, 7461442 + ... + 7463908.

Almost surely, 218410419225 is an apocalyptic number.

18410419225 is the 135685-th square number.

18410419225 is the 67843-rd centered octagonal number.

It is an amenable number.

18410419225 is a deficient number, since it is larger than the sum of its proper divisors (6692701286).

18410419225 is an frugal number, since it uses more digits than its factorization.

18410419225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 18410419225 in words is "eighteen billion, four hundred ten million, four hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2467 3025 12335 27137 61675 135685 298507 678425 1492535 6086089 7462675 30430445 66946979 152152225 334734895 736416769 1673674475 3682083845 18410419225