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30413616025 = 5213226832
BaseRepresentation
bin11100010100110010…
…101111001110011001
32220111120120202220011
4130110302233032121
5444241341203100
621545525201521
72124451320322
oct342462571631
986446522804
1030413616025
1111997769961
125a895602a1
132b38c93100
141687355449
15bd00cbbba
hex714caf399

30413616025 has 27 divisors (see below), whose sum is σ = 40852254429. Its totient is φ = 22450914720.

The previous prime is 30413616007. The next prime is 30413616031. The reversal of 30413616025 is 52061631403.

The square root of 30413616025 is 174395.

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 7839154521 + 22574461504 = 88539^2 + 150248^2 .

It is a de Polignac number, because none of the positive numbers 2k-30413616025 is a prime.

It is a super-2 number, since 2×304136160252 (a number of 22 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11334334 + ... + 11337016.

Almost surely, 230413616025 is an apocalyptic number.

30413616025 is the 174395-th square number.

30413616025 is the 87198-th centered octagonal number.

It is an amenable number.

30413616025 is a deficient number, since it is larger than the sum of its proper divisors (10438638404).

30413616025 is an frugal number, since it uses more digits than its factorization.

30413616025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 30413616025 in words is "thirty billion, four hundred thirteen million, six hundred sixteen thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2683 4225 13415 34879 67075 174395 453427 871975 2267135 7198489 11335675 35992445 93580357 179962225 467901785 1216544641 2339508925 6082723205 30413616025