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16945854961 = 76139685843
BaseRepresentation
bin11111100100000110…
…10011100111110001
31121201222121121212211
433302003103213301
5234201114324321
611441304252121
71136635250650
oct176203234761
947658547784
1016945854961
117206547712
12334b171041
1317a0a16419
14b6a827197
15692a7e0e1
hex3f20d39f1

16945854961 has 8 divisors (see below), whose sum is σ = 19684178624. Its totient is φ = 14286903120.

The previous prime is 16945854953. The next prime is 16945854967.

16945854961 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 16945854961 - 23 = 16945854953 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16945854896 and 16945854905.

It is not an unprimeable number, because it can be changed into a prime (16945854967) 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 7 ways as a sum of consecutive naturals, for example, 19842495 + ... + 19843348.

It is an arithmetic number, because the mean of its divisors is an integer number (2460522328).

Almost surely, 216945854961 is an apocalyptic number.

It is an amenable number.

16945854961 is a deficient number, since it is larger than the sum of its proper divisors (2738323663).

16945854961 is an equidigital number, since it uses as much as digits as its factorization.

16945854961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39685911.

The product of its digits is 9331200, while the sum is 58.

The spelling of 16945854961 in words is "sixteen billion, nine hundred forty-five million, eight hundred fifty-four thousand, nine hundred sixty-one".

Divisors: 1 7 61 427 39685843 277800901 2420836423 16945854961