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23663361241 = 132118332
BaseRepresentation
bin10110000010011100…
…100011110011011001
32021002010210022010201
4112002130203303121
5341430310024431
614512031542201
71465254152242
oct260234436331
967063708121
1023663361241
11a0433945a3
12470498a961
132301640900
141206a49cc9
15937696461
hex582723cd9

23663361241 has 9 divisors (see below), whose sum is σ = 25625805309. Its totient is φ = 21841256736.

The previous prime is 23663361229. The next prime is 23663361283. The reversal of 23663361241 is 14216336632.

The square root of 23663361241 is 153829.

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 565440841 + 23097920400 = 23779^2 + 151980^2 .

It is not a de Polignac number, because 23663361241 - 221 = 23661264089 is a prime.

It is a super-2 number, since 2×236633612412 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23663361241.

It is not an unprimeable number, because it can be changed into a prime (23663361541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1993861 + ... + 2005693.

It is an arithmetic number, because the mean of its divisors is an integer number (2847311701).

Almost surely, 223663361241 is an apocalyptic number.

23663361241 is the 153829-th square number.

23663361241 is the 76915-th centered octagonal number.

It is an amenable number.

23663361241 is a deficient number, since it is larger than the sum of its proper divisors (1962444068).

23663361241 is an frugal number, since it uses more digits than its factorization.

23663361241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23692 (or 11846 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

Adding to 23663361241 its reverse (14216336632), we get a palindrome (37879697873).

The spelling of 23663361241 in words is "twenty-three billion, six hundred sixty-three million, three hundred sixty-one thousand, two hundred forty-one".

Divisors: 1 13 169 11833 153829 1999777 140019889 1820258557 23663361241