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13506314345 = 514918129281
BaseRepresentation
bin11001001010000101…
…00000000001101001
31021212021111212011122
430211002200001221
5210130104024340
610112115105025
7655461530516
oct144502400151
937767455148
1013506314345
115800a64967
12274b2a2175
131373257ba4
14921ac630d
15540b15db5
hex3250a0069

13506314345 has 8 divisors (see below), whose sum is σ = 16316353800. Its totient is φ = 10732533760.

The previous prime is 13506314317. The next prime is 13506314387. The reversal of 13506314345 is 54341360531.

It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 13473869929 = 5696^2 + 116077^2 .

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

It is not a de Polignac number, because 13506314345 - 26 = 13506314281 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9063896 + ... + 9065385.

It is an arithmetic number, because the mean of its divisors is an integer number (2039544225).

Almost surely, 213506314345 is an apocalyptic number.

It is an amenable number.

13506314345 is a deficient number, since it is larger than the sum of its proper divisors (2810039455).

13506314345 is a wasteful number, since it uses less digits than its factorization.

13506314345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129435.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 13506314345 its reverse (54341360531), we get a palindrome (67847674876).

The spelling of 13506314345 in words is "thirteen billion, five hundred six million, three hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 149 745 18129281 90646405 2701262869 13506314345