Search a number
-
+
12271986841 = 47223572
BaseRepresentation
bin10110110110111011…
…11010100010011001
31011200020220112011011
423123131322202121
5200113112034331
65345423133521
7613053111202
oct133335724231
934606815134
1012271986841
115228242394
122465a442a1
131207604a9a
14845bbc5a9
154bc5993b1
hex2db77a899

12271986841 has 9 divisors (see below), whose sum is σ = 12543970399. Its totient is φ = 12005784904.

The previous prime is 12271986827. The next prime is 12271986847. The reversal of 12271986841 is 14868917221.

The square root of 12271986841 is 110779.

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., 2231145225 + 10040841616 = 47235^2 + 100204^2 .

It is a de Polignac number, because none of the positive numbers 2k-12271986841 is a prime.

It is a super-2 number, since 2×122719868412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12271986847) 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, 5205435 + ... + 5207791.

Almost surely, 212271986841 is an apocalyptic number.

12271986841 is the 110779-th square number.

12271986841 is the 55390-th centered octagonal number.

It is an amenable number.

12271986841 is a deficient number, since it is larger than the sum of its proper divisors (271983558).

12271986841 is an frugal number, since it uses more digits than its factorization.

12271986841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 2404 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

Multiplying 12271986841 by its sum of digits (49), we get a square (601327355209 = 7754532).

The spelling of 12271986841 in words is "twelve billion, two hundred seventy-one million, nine hundred eighty-six thousand, eight hundred forty-one".

Divisors: 1 47 2209 2357 110779 5206613 5555449 261106103 12271986841