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16928082961 = 232393079513
BaseRepresentation
bin11111100001111111…
…00000110000010001
31121200202011201021121
433300333200300101
5234132042123321
611435431322241
71136331221356
oct176077406021
947622151247
1016928082961
1171a7509309
123345220381
13179a13314a
14b6831c62d
1569121d441
hex3f0fe0c11

16928082961 has 8 divisors (see below), whose sum is σ = 17738000640. Its totient is φ = 16124324832.

The previous prime is 16928082953. The next prime is 16928082989.

16928082961 is nontrivially palindromic in base 10.

16928082961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 16928082961 - 23 = 16928082953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16928082899 and 16928082908.

It is not an unprimeable number, because it can be changed into a prime (16928082991) 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, 1534260 + ... + 1545253.

It is an arithmetic number, because the mean of its divisors is an integer number (2217250080).

Almost surely, 216928082961 is an apocalyptic number.

It is an amenable number.

16928082961 is a deficient number, since it is larger than the sum of its proper divisors (809917679).

16928082961 is a wasteful number, since it uses less digits than its factorization.

16928082961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079775.

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 16928082961 in words is "sixteen billion, nine hundred twenty-eight million, eighty-two thousand, nine hundred sixty-one".

Divisors: 1 23 239 5497 3079513 70828799 736003607 16928082961