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1825706308969 = 269250232
BaseRepresentation
bin11010100100010100100…
…100110111010101101001
320110112110121111222001001
4122210110210313111221
5214403021303341334
63514415022155001
7245621463401164
oct32442444672551
96415417458031
101825706308969
11644306685034
12255a01422a61
13103217bb960a
1464516892adb
1532756747714
hex1a914937569

1825706308969 has 9 divisors (see below), whose sum is σ = 1832883449943. Its totient is φ = 1818557178552.

The previous prime is 1825706308949. The next prime is 1825706308973. The reversal of 1825706308969 is 9698036075281.

The square root of 1825706308969 is 1351187.

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., 120122548569 + 1705583760400 = 346587^2 + 1305980^2 .

It is not a de Polignac number, because 1825706308969 - 29 = 1825706308457 is a prime.

It is a super-4 number, since 4×18257063089694 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 1825706308969.

It is not an unprimeable number, because it can be changed into a prime (1825706308939) 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, 363466792 + ... + 363471814.

Almost surely, 21825706308969 is an apocalyptic number.

1825706308969 is the 1351187-th square number.

1825706308969 is the 675594-th centered octagonal number.

It is an amenable number.

1825706308969 is a deficient number, since it is larger than the sum of its proper divisors (7177140974).

1825706308969 is an frugal number, since it uses more digits than its factorization.

1825706308969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 1825706308969 by its sum of digits (64), we get a square (116845203774016 = 108094962).

The spelling of 1825706308969 in words is "one trillion, eight hundred twenty-five billion, seven hundred six million, three hundred eight thousand, nine hundred sixty-nine".

Divisors: 1 269 5023 72361 1351187 25230529 363469303 6787012301 1825706308969