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15417008345 = 522131393313
BaseRepresentation
bin11100101101110110…
…01110000011011001
31110210102211011121002
432112323032003121
5223033223231340
611025451554345
71054022260124
oct162673160331
943712734532
1015417008345
1165a1554612
122ba315b9b5
1315b906415b
14a637753bb
15603737715
hex396ece0d9

15417008345 has 8 divisors (see below), whose sum is σ = 18508783176. Its totient is φ = 12328024576.

The previous prime is 15417008339. The next prime is 15417008359. The reversal of 15417008345 is 54380071451.

It can be written as a sum of positive squares in 4 ways, for example, as 6590030041 + 8826978304 = 81179^2 + 93952^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 15417008345 - 26 = 15417008281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15417008299 and 15417008308.

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 7 ways as a sum of consecutive naturals, for example, 685592 + ... + 707721.

It is an arithmetic number, because the mean of its divisors is an integer number (2313597897).

Almost surely, 215417008345 is an apocalyptic number.

It is an amenable number.

15417008345 is a deficient number, since it is larger than the sum of its proper divisors (3091774831).

15417008345 is a wasteful number, since it uses less digits than its factorization.

15417008345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395531.

The product of its (nonzero) digits is 67200, while the sum is 38.

Adding to 15417008345 its reverse (54380071451), we get a palindrome (69797079796).

The spelling of 15417008345 in words is "fifteen billion, four hundred seventeen million, eight thousand, three hundred forty-five".

Divisors: 1 5 2213 11065 1393313 6966565 3083401669 15417008345