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13634034017 = 171575108293
BaseRepresentation
bin11001011001010011…
…01101100101100001
31022012011211200121212
430230221231211201
5210410303042032
610132520355505
7661602243212
oct145451554541
938164750555
1013634034017
11586706960a
122786015b95
131393855766
14934a51409
1554be43bb2
hex32ca6d961

13634034017 has 8 divisors (see below), whose sum is σ = 14527988136. Its totient is φ = 12750296832.

The previous prime is 13634033999. The next prime is 13634034049. The reversal of 13634034017 is 71043043631.

13634034017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 213043216 + 13420990801 = 14596^2 + 115849^2 .

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 13634034017 - 26 = 13634033953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13634034067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2551478 + ... + 2556815.

It is an arithmetic number, because the mean of its divisors is an integer number (1815998517).

Almost surely, 213634034017 is an apocalyptic number.

13634034017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13634034017 is a deficient number, since it is larger than the sum of its proper divisors (893954119).

13634034017 is a wasteful number, since it uses less digits than its factorization.

13634034017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108467.

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 13634034017 its reverse (71043043631), we get a palindrome (84677077648).

The spelling of 13634034017 in words is "thirteen billion, six hundred thirty-four million, thirty-four thousand, seventeen".

Divisors: 1 17 157 2669 5108293 86840981 802002001 13634034017