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16968486961 = 163140973883
BaseRepresentation
bin11111100110110011…
…01001000000110001
31121210120012110011001
433303121221000301
5234222413040321
611443433322001
71140331521316
oct176331510061
947716173131
1016968486961
1172182a5448
123356866301
1317a560b83a
14b6d838d0d
15694a4ec91
hex3f3669031

16968486961 has 8 divisors (see below), whose sum is σ = 17084936160. Its totient is φ = 16852188672.

The previous prime is 16968486949. The next prime is 16968486979.

16968486961 is nontrivially palindromic in base 10.

16968486961 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 16968486961 - 25 = 16968486929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16968486893 and 16968486902.

It is not an unprimeable number, because it can be changed into a prime (16968486901) 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, 192726 + ... + 266608.

It is an arithmetic number, because the mean of its divisors is an integer number (2135617020).

Almost surely, 216968486961 is an apocalyptic number.

It is an amenable number.

16968486961 is a deficient number, since it is larger than the sum of its proper divisors (116449199).

16968486961 is a wasteful number, since it uses less digits than its factorization.

16968486961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75455.

The product of its digits is 26873856, while the sum is 64.

The spelling of 16968486961 in words is "sixteen billion, nine hundred sixty-eight million, four hundred eighty-six thousand, nine hundred sixty-one".

Divisors: 1 163 1409 73883 229667 12042929 104101147 16968486961