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16283773441 = 132299734253
BaseRepresentation
bin11110010101001011…
…01010101000000001
31120000211210101210001
433022211222220001
5231322121222231
611251453440001
71114345535065
oct171245525001
946024711701
1016283773441
1169a6847001
1231a54a0001
1316c67c2300
14b0691daa5
1565489bb61
hex3ca96aa01

16283773441 has 24 divisors (see below), whose sum is σ = 18429337080. Its totient is φ = 14362822656.

The previous prime is 16283773369. The next prime is 16283773469. The reversal of 16283773441 is 14437738261.

It can be written as a sum of positive squares in 12 ways, for example, as 10957693041 + 5326080400 = 104679^2 + 72980^2 .

It is not a de Polignac number, because 16283773441 - 211 = 16283771393 is a prime.

It is a super-2 number, since 2×162837734412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16283773391 and 16283773400.

It is not an unprimeable number, because it can be changed into a prime (16283773141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458271 + ... + 492523.

It is an arithmetic number, because the mean of its divisors is an integer number (767889045).

Almost surely, 216283773441 is an apocalyptic number.

It is an amenable number.

16283773441 is a deficient number, since it is larger than the sum of its proper divisors (2145563639).

16283773441 is a wasteful number, since it uses less digits than its factorization.

16283773441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34405 (or 34392 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The spelling of 16283773441 in words is "sixteen billion, two hundred eighty-three million, seven hundred seventy-three thousand, four hundred forty-one".

Divisors: 1 13 29 97 169 377 1261 2813 4901 16393 34253 36569 445289 475397 993337 3322541 5788757 12913381 43193033 96353689 167873953 561509429 1252597957 16283773441