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4334111913609 = 342313172
BaseRepresentation
bin111111000100011101001…
…100110111011010001001
3120100100002201012111010000
4333010131030313122021
51032002230122213414
613115021415513213
7625062222262602
oct77043514673211
916310081174100
104334111913609
1114210a5204505
1259bb91388809
13255921b661ba
1410dab4a52da9
1577b18272b09
hex3f11d337689

4334111913609 has 15 divisors (see below), whose sum is σ = 6474442082647. Its totient is φ = 2889395451288.

The previous prime is 4334111913577. The next prime is 4334111913617. The reversal of 4334111913609 is 9063191114334.

The square root of 4334111913609 is 2081853.

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

4334111913609 is a `hidden beast` number, since 4 + 3 + 3 + 4 + 11 + 19 + 13 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3337764572025 + 996347341584 = 1826955^2 + 998172^2 .

It is not a de Polignac number, because 4334111913609 - 25 = 4334111913577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4334111917609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18621019 + ... + 18852335.

Almost surely, 24334111913609 is an apocalyptic number.

4334111913609 is the 2081853-rd square number.

4334111913609 is the 1040927-th centered octagonal number.

It is an amenable number.

4334111913609 is a deficient number, since it is larger than the sum of its proper divisors (2140330169038).

4334111913609 is an frugal number, since it uses more digits than its factorization.

4334111913609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462646 (or 231320 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 4334111913609 in words is "four trillion, three hundred thirty-four billion, one hundred eleven million, nine hundred thirteen thousand, six hundred nine".

Divisors: 1 3 9 27 81 231317 693951 2081853 6245559 18736677 53507554489 160522663467 481567990401 1444703971203 4334111913609