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13058448065 = 5131011989101
BaseRepresentation
bin11000010100101100…
…00001101011000001
31020201001202220010122
430022112001223001
5203220430314230
65555435510025
7641412656105
oct141226015301
936631686118
1013058448065
1155a1176343
1226452b8315
131301527460
148bc421905
15516649be5
hex30a581ac1

13058448065 has 16 divisors (see below), whose sum is σ = 17042625936. Its totient is φ = 9547680000.

The previous prime is 13058448061. The next prime is 13058448083. The reversal of 13058448065 is 56084485031.

It can be written as a sum of positive squares in 8 ways, for example, as 7441984 + 13051006081 = 2728^2 + 114241^2 .

It is not a de Polignac number, because 13058448065 - 22 = 13058448061 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13058448061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 987986 + ... + 1001115.

It is an arithmetic number, because the mean of its divisors is an integer number (1065164121).

Almost surely, 213058448065 is an apocalyptic number.

It is an amenable number.

13058448065 is a deficient number, since it is larger than the sum of its proper divisors (3984177871).

13058448065 is a wasteful number, since it uses less digits than its factorization.

13058448065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989220.

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 13058448065 in words is "thirteen billion, fifty-eight million, four hundred forty-eight thousand, sixty-five".

Divisors: 1 5 13 65 101 505 1313 6565 1989101 9945505 25858313 129291565 200899201 1004496005 2611689613 13058448065