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23861289841 = 113213672
BaseRepresentation
bin10110001110001111…
…100110001101110001
32021120221020010010121
4112032033212031301
5342331442233331
614543422130241
71503206421454
oct261617461561
967527203117
1023861289841
11a135092254
12475b120981
13233365111c
14122504d49b
15949c41c11
hex58e3e6371

23861289841 has 9 divisors (see below), whose sum is σ = 24091944331. Its totient is φ = 23632827232.

The previous prime is 23861289833. The next prime is 23861289853. The reversal of 23861289841 is 14898216832.

The square root of 23861289841 is 154471.

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., 420455025 + 23440834816 = 20505^2 + 153104^2 .

It is not a de Polignac number, because 23861289841 - 23 = 23861289833 is a prime.

It is a super-2 number, since 2×238612898412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23861289241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17454540 + ... + 17455906.

Almost surely, 223861289841 is an apocalyptic number.

23861289841 is the 154471-st square number.

23861289841 is the 77236-th centered octagonal number.

It is an amenable number.

23861289841 is a deficient number, since it is larger than the sum of its proper divisors (230654490).

23861289841 is an frugal number, since it uses more digits than its factorization.

23861289841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 1480 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The spelling of 23861289841 in words is "twenty-three billion, eight hundred sixty-one million, two hundred eighty-nine thousand, eight hundred forty-one".

Divisors: 1 113 1367 12769 154471 1868689 17455223 211161857 23861289841