Search a number
-
+
23268882431089 = 4321121812
BaseRepresentation
bin1010100101001101101010…
…11110001011110001110001
310001101111001102110112010201
411102212311132023301301
511022214132400243324
6121253324345155201
74621056412154161
oct522466536136161
9101344042415121
1023268882431089
117461306571a09
1227397b978bb01
13cca327b87a69
145a63116585a1
152a5424ea8444
hex1529b578bc71

23268882431089 has 9 divisors (see below), whose sum is σ = 23822816169099. Its totient is φ = 22727543031480.

The previous prime is 23268882431087. The next prime is 23268882431149. The reversal of 23268882431089 is 98013428886232.

The square root of 23268882431089 is 4823783.

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

It can be written as a sum of positive squares in only one way, i.e., 22753214821089 + 515667610000 = 4770033^2 + 718100^2 .

It is not a de Polignac number, because 23268882431089 - 21 = 23268882431087 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23268882431089.

It is not an unprimeable number, because it can be changed into a prime (23268882431087) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 207366579 + ... + 207478759.

Almost surely, 223268882431089 is an apocalyptic number.

23268882431089 is the 4823783-rd square number.

23268882431089 is the 2411892-nd centered octagonal number.

It is an amenable number.

23268882431089 is a deficient number, since it is larger than the sum of its proper divisors (553933738010).

23268882431089 is an frugal number, since it uses more digits than its factorization.

23268882431089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224448 (or 112224 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 64.

The spelling of 23268882431089 in words is "twenty-three trillion, two hundred sixty-eight billion, eight hundred eighty-two million, four hundred thirty-one thousand, eighty-nine".

Divisors: 1 43 1849 112181 4823783 207422669 12584576761 541136800723 23268882431089