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16444121561 = 723691147811
BaseRepresentation
bin11110101000010010…
…10110000111011001
31120110000111221001022
433110021112013121
5232134143342221
611315422332225
71121333504240
oct172411260731
946400457038
1016444121561
116a79306a0a
12322b12a075
131720aa535a
14b1dd3d957
156639c24ab
hex3d42561d9

16444121561 has 16 divisors (see below), whose sum is σ = 19638893568. Its totient is φ = 13462534800.

The previous prime is 16444121549. The next prime is 16444121563. The reversal of 16444121561 is 16512144461.

16444121561 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 16444121561 - 26 = 16444121497 is a prime.

It is a super-3 number, since 3×164441215613 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16444121563) 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 15 ways as a sum of consecutive naturals, for example, 37346 + ... + 185156.

It is an arithmetic number, because the mean of its divisors is an integer number (1227430848).

Almost surely, 216444121561 is an apocalyptic number.

It is an amenable number.

16444121561 is a deficient number, since it is larger than the sum of its proper divisors (3194772007).

16444121561 is a wasteful number, since it uses less digits than its factorization.

16444121561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148532.

The product of its digits is 23040, while the sum is 35.

The spelling of 16444121561 in words is "sixteen billion, four hundred forty-four million, one hundred twenty-one thousand, five hundred sixty-one".

Divisors: 1 7 23 161 691 4837 15893 111251 147811 1034677 3399653 23797571 102137401 714961807 2349160223 16444121561