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17138201613 = 313311323011
BaseRepresentation
bin11111111011000010…
…00011010000001101
31122020101112211212220
433331201003100031
5240044334422423
611512335045553
71144462211241
oct177541032015
948211484786
1017138201613
1172a5082595
1233a36708b9
131801821000
14b881b6421
156a48c59e3
hex3fd84340d

17138201613 has 32 divisors (see below), whose sum is σ = 24974463360. Its totient is φ = 10452798720.

The previous prime is 17138201611. The next prime is 17138201629. The reversal of 17138201613 is 31610283171.

17138201613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 17138201613 - 21 = 17138201611 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17138201611) 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 31 ways as a sum of consecutive naturals, for example, 733278 + ... + 756288.

It is an arithmetic number, because the mean of its divisors is an integer number (780451980).

Almost surely, 217138201613 is an apocalyptic number.

17138201613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17138201613 is a deficient number, since it is larger than the sum of its proper divisors (7836261747).

17138201613 is a wasteful number, since it uses less digits than its factorization.

17138201613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23166 (or 23140 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 17138201613 its reverse (31610283171), we get a palindrome (48748484784).

The spelling of 17138201613 in words is "seventeen billion, one hundred thirty-eight million, two hundred one thousand, six hundred thirteen".

Divisors: 1 3 13 39 113 169 339 507 1469 2197 4407 6591 19097 23011 57291 69033 248261 299143 744783 897429 2600243 3888859 7800729 11666577 33803159 50555167 101409477 151665501 439441067 1318323201 5712733871 17138201613