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16959422341 = 1009162110369
BaseRepresentation
bin11111100101101110…
…00011111110000101
31121202221010220211101
433302313003332011
5234213103003331
611442511140101
71140161466001
oct176267037605
947687126741
1016959422341
117213174024
123353814631
1317a3786964
14b6c559701
15693d5e061
hex3f2dc3f85

16959422341 has 8 divisors (see below), whose sum is σ = 16988341400. Its totient is φ = 16930529280.

The previous prime is 16959422321. The next prime is 16959422413. The reversal of 16959422341 is 14322495961.

It is the 53166-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 435348225 + 16524074116 = 20865^2 + 128546^2 .

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

It is a 7-Lehmer number, since φ(16959422341) divides (16959422341-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-16959422341 is a prime.

It is a super-2 number, since 2×169594223412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16959422291 and 16959422300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16959422321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630405 + ... + 1640773.

It is an arithmetic number, because the mean of its divisors is an integer number (2123542675).

Almost surely, 216959422341 is an apocalyptic number.

It is an amenable number.

16959422341 is a deficient number, since it is larger than the sum of its proper divisors (28919059).

16959422341 is a wasteful number, since it uses less digits than its factorization.

16959422341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999.

The product of its digits is 466560, while the sum is 46.

The spelling of 16959422341 in words is "sixteen billion, nine hundred fifty-nine million, four hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 1009 1621 10369 1635589 10462321 16808149 16959422341