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16395249361 = 177321371321
BaseRepresentation
bin11110100010011101…
…11010011011010001
31120022121112221222211
433101032322123101
5232034140434421
611310515032121
71120201214551
oct172116723321
946277487884
1016395249361
116a53766567
12321689b641
1317139233aa
14b1765b161
1565e56b9e1
hex3d13ba6d1

16395249361 has 24 divisors (see below), whose sum is σ = 17742630744. Its totient is φ = 15096913920.

The previous prime is 16395249337. The next prime is 16395249379. The reversal of 16395249361 is 16394259361.

It can be written as a sum of positive squares in 12 ways, for example, as 240839361 + 16154410000 = 15519^2 + 127100^2 .

It is not a de Polignac number, because 16395249361 - 25 = 16395249329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16395241361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12410581 + ... + 12411901.

It is an arithmetic number, because the mean of its divisors is an integer number (739276281).

Almost surely, 216395249361 is an apocalyptic number.

It is an amenable number.

16395249361 is a deficient number, since it is larger than the sum of its proper divisors (1347381383).

16395249361 is a wasteful number, since it uses less digits than its factorization.

16395249361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1548 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 49.

The spelling of 16395249361 in words is "sixteen billion, three hundred ninety-five million, two hundred forty-nine thousand, three hundred sixty-one".

Divisors: 1 17 73 137 1241 1321 2329 5329 10001 22457 90593 96433 170017 180977 730073 1639361 3076609 7039609 12411241 13211321 119673353 224592457 964426433 16395249361