Search a number
-
+
16914346345 = 5131921794027
BaseRepresentation
bin11111100000010110…
…00111000101101001
31121122210022211012001
433300023013011221
5234120033040340
611434221051001
71136103400051
oct176013070551
947583284161
1016914346345
11719a786836
1233406b6a61
131797333880
14b66584561
1568ee0829a
hex3f02c7169

16914346345 has 48 divisors (see below), whose sum is σ = 23204180160. Its totient is φ = 11764165248.

The previous prime is 16914346343. The next prime is 16914346363. The reversal of 16914346345 is 54364341961.

16914346345 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 16914346345 - 21 = 16914346343 is a prime.

It is a super-2 number, since 2×169143463452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16914346295 and 16914346304.

It is not an unprimeable number, because it can be changed into a prime (16914346343) 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 47 ways as a sum of consecutive naturals, for example, 4198222 + ... + 4202248.

It is an arithmetic number, because the mean of its divisors is an integer number (483420420).

Almost surely, 216914346345 is an apocalyptic number.

It is an amenable number.

16914346345 is a deficient number, since it is larger than the sum of its proper divisors (6289833815).

16914346345 is a wasteful number, since it uses less digits than its factorization.

16914346345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4243 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 16914346345 in words is "sixteen billion, nine hundred fourteen million, three hundred forty-six thousand, three hundred forty-five".

Divisors: 1 5 13 19 65 95 179 247 361 895 1235 1805 2327 3401 4027 4693 11635 17005 20135 23465 44213 52351 64619 76513 221065 261755 323095 382565 720833 840047 994669 1453747 3604165 4200235 4973345 7268735 9370829 13695827 18898711 46854145 68479135 94493555 178045751 260220713 890228755 1301103565 3382869269 16914346345