Search a number
-
+
23783207500809 = 34191228372
BaseRepresentation
bin1010110100001011101011…
…01000100111110000001001
310010012122121121211011210000
411122011311220213300021
511104131002110011214
6122325504340313213
75003165024134311
oct532056550476011
9103178547734700
1023783207500809
11763a4466752a9
1228014180a2809
131036992a7c343
145c31831b2441
152b39c8531809
hex15a175a27c09

23783207500809 has 45 divisors (see below), whose sum is σ = 35727579118231. Its totient is φ = 15766899171120.

The previous prime is 23783207500783. The next prime is 23783207500817. The reversal of 23783207500809 is 90800570238732.

The square root of 23783207500809 is 4876803.

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

23783207500809 is a `hidden beast` number, since 2 + 37 + 8 + 3 + 20 + 7 + 500 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814461125625 + 22968746375184 = 902475^2 + 4792572^2 .

It is not a de Polignac number, because 23783207500809 - 243 = 14987114478601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23783207500849) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8383222939 + ... + 8383225775.

Almost surely, 223783207500809 is an apocalyptic number.

23783207500809 is the 4876803-rd square number.

23783207500809 is the 2438402-nd centered octagonal number.

It is an amenable number.

23783207500809 is a deficient number, since it is larger than the sum of its proper divisors (11944371617422).

23783207500809 is an frugal number, since it uses more digits than its factorization.

23783207500809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 23783207500809 in words is "twenty-three trillion, seven hundred eighty-three billion, two hundred seven million, five hundred thousand, eight hundred nine".

Divisors: 1 3 9 27 81 191 573 1719 2837 5157 8511 15471 25533 36481 76599 109443 229797 328329 541867 984987 1625601 2954961 4876803 8048569 14630409 24145707 43891227 72437121 103496597 217311363 310489791 651934089 931469373 1537276679 2794408119 4611830037 8383224357 13835490111 41506470333 124519410999 293619845689 880859537067 2642578611201 7927735833603 23783207500809