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13287712673 = 413976731213
BaseRepresentation
bin11000110000000001…
…00110011110100001
31021022001011202001102
430120000212132201
5204203123301143
610034305444145
7650165460044
oct143000463641
937261152042
1013287712673
1156a9627224
1226aa040655
131339b89aa1
14900a60c5b
1552b8350b8
hex3180267a1

13287712673 has 16 divisors (see below), whose sum is σ = 13677632976. Its totient is φ = 12901109760.

The previous prime is 13287712619. The next prime is 13287712709. The reversal of 13287712673 is 37621778231.

It can be written as a sum of positive squares in 8 ways, for example, as 3922892689 + 9364819984 = 62633^2 + 96772^2 .

It is a cyclic number.

It is not a de Polignac number, because 13287712673 - 228 = 13019277217 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13287712573) 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, 10953815 + ... + 10955027.

It is an arithmetic number, because the mean of its divisors is an integer number (854852061).

Almost surely, 213287712673 is an apocalyptic number.

It is an amenable number.

13287712673 is a deficient number, since it is larger than the sum of its proper divisors (389920303).

13287712673 is a wasteful number, since it uses less digits than its factorization.

13287712673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324.

The product of its digits is 592704, while the sum is 47.

The spelling of 13287712673 in words is "thirteen billion, two hundred eighty-seven million, seven hundred twelve thousand, six hundred seventy-three".

Divisors: 1 41 397 673 1213 16277 27593 49733 267181 481561 816349 10954421 19744001 33470309 324090553 13287712673