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30065132449 = 11414332
BaseRepresentation
bin11100000000000001…
…011000001110100001
32212121021211222022001
4130000001120032201
5443033133214244
621451200044001
72113020260242
oct340001301641
985537758261
1030065132449
1111828a90000
1259b0903601
132ab1a1b201
141652d60cc9
15bae6e25d4
hex7000583a1

30065132449 has 15 divisors (see below), whose sum is σ = 33094534915. Its totient is φ = 27312865360.

The previous prime is 30065132441. The next prime is 30065132533. The reversal of 30065132449 is 94423156003.

The square root of 30065132449 is 173393.

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., 24933989025 + 5131143424 = 157905^2 + 71632^2 .

It is not a de Polignac number, because 30065132449 - 23 = 30065132441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30065132441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20979837 + ... + 20981269.

Almost surely, 230065132449 is an apocalyptic number.

30065132449 is the 173393-rd square number.

30065132449 is the 86697-th centered octagonal number.

It is an amenable number.

30065132449 is a deficient number, since it is larger than the sum of its proper divisors (3029402466).

30065132449 is an frugal number, since it uses more digits than its factorization.

30065132449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 30065132449 in words is "thirty billion, sixty-five million, one hundred thirty-two thousand, four hundred forty-nine".

Divisors: 1 11 121 1331 1433 14641 15763 173393 1907323 2053489 20980553 22588379 248472169 2733193859 30065132449