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16443189361 = 1721923972
BaseRepresentation
bin11110101000001011…
…10010100001110001
31120102221202120022101
433110011302201301
5232133424024421
611315350340401
71121322542404
oct172405624161
946387676271
1016443189361
116a7882a5a5
12322a95a701
131720839c61
14b1db79d3b
1566388b191
hex3d4172871

16443189361 has 27 divisors (see below), whose sum is σ = 18481604769. Its totient is φ = 14624489088.

The previous prime is 16443189319. The next prime is 16443189377. The reversal of 16443189361 is 16398134461.

The square root of 16443189361 is 128231.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3360404961 + 13082784400 = 57969^2 + 114380^2 .

It is not a de Polignac number, because 16443189361 - 227 = 16308971633 is a prime.

It is a super-3 number, since 3×164431893613 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16443189311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41418415 + ... + 41418811.

Almost surely, 216443189361 is an apocalyptic number.

16443189361 is the 128231-st square number.

16443189361 is the 64116-th centered octagonal number.

It is an amenable number.

16443189361 is a deficient number, since it is larger than the sum of its proper divisors (2038415408).

16443189361 is an frugal number, since it uses more digits than its factorization.

16443189361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The spelling of 16443189361 in words is "sixteen billion, four hundred forty-three million, one hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 17 19 289 323 361 397 5491 6137 6749 7543 104329 114733 128231 143317 157609 2179927 2436389 2679353 2994571 41418613 45549001 50907707 56896849 865431019 967246433 16443189361