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67999428289 = 13415432
BaseRepresentation
bin111111010101000101…
…001110111011000001
320111111222220212102001
4333111011032323001
52103230323201124
651123303424001
74625042414032
oct772505167301
9214458825361
1067999428289
11269249a4a21
1211218a55001
136548b30000
14341104ca89
151b7eb88b44
hexfd514eec1

67999428289 has 15 divisors (see below), whose sum is σ = 73713621813. Its totient is φ = 62728023384.

The previous prime is 67999428283. The next prime is 67999428349. The reversal of 67999428289 is 98282499976.

The square root of 67999428289 is 260767.

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

It can be written as a sum of positive squares in 2 ways, for example, as 33715202689 + 34284225600 = 183617^2 + 185160^2 .

It is not a de Polignac number, because 67999428289 - 217 = 67999297217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67999428283) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44068852 + ... + 44070394.

Almost surely, 267999428289 is an apocalyptic number.

67999428289 is the 260767-th square number.

67999428289 is the 130384-th centered octagonal number.

It is an amenable number.

67999428289 is a deficient number, since it is larger than the sum of its proper divisors (5714193524).

67999428289 is an frugal number, since it uses more digits than its factorization.

67999428289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 1556 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 73.

The spelling of 67999428289 in words is "sixty-seven billion, nine hundred ninety-nine million, four hundred twenty-eight thousand, two hundred eighty-nine".

Divisors: 1 13 169 1543 2197 20059 28561 260767 2380849 3389971 30951037 44069623 402363481 5230725253 67999428289