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30738855625 = 5470132
BaseRepresentation
bin11100101000001011…
…011011011011001001
32221100020120122202021
4130220023123123021
51000423121340000
622042104204441
72135510650612
oct345013333311
987306518667
1030738855625
1112044312215
125b5a469721
132b8b48a18a
1416b8618c09
15bed92411a
hex7282db6c9

30738855625 has 15 divisors (see below), whose sum is σ = 38416751923. Its totient is φ = 24587578000.

The previous prime is 30738855613. The next prime is 30738855713. The reversal of 30738855625 is 52655883703.

It is a happy number.

The square root of 30738855625 is 175325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 12534369849 + 18204485776 = 111957^2 + 134924^2 .

It is not a de Polignac number, because 30738855625 - 25 = 30738855593 is a prime.

It is a super-3 number, since 3×307388556253 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4379619 + ... + 4386631.

Almost surely, 230738855625 is an apocalyptic number.

30738855625 is the 175325-th square number.

30738855625 is the 87663-rd centered octagonal number.

It is an amenable number.

30738855625 is a deficient number, since it is larger than the sum of its proper divisors (7677896298).

30738855625 is an frugal number, since it uses more digits than its factorization.

30738855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 30738855625 in words is "thirty billion, seven hundred thirty-eight million, eight hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 7013 35065 175325 876625 4383125 49182169 245910845 1229554225 6147771125 30738855625