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243726853969 = 383212892
BaseRepresentation
bin1110001011111101000…
…0001010011101010001
3212022002202002000112101
43202333100022131101
512443123033311334
6303544440200401
723415531035164
oct3427720123521
9768082060471
10243726853969
1194400500845
123b29b769101
1319ca2538371
14bb2161dadb
156517229214
hex38bf40a751

243726853969 has 9 divisors (see below), whose sum is σ = 244554602203. Its totient is φ = 242901902992.

The previous prime is 243726853967. The next prime is 243726853987. The reversal of 243726853969 is 969358627342.

The square root of 243726853969 is 493687.

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

243726853969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197725183569 + 46001670400 = 444663^2 + 214480^2 .

It is not a de Polignac number, because 243726853969 - 21 = 243726853967 is a prime.

It is a super-2 number, since 2×2437268539692 (a number of 24 digits) contains 22 as substring.

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 243726853969.

It is not an unprimeable number, because it can be changed into a prime (243726853967) 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, 189081477 + ... + 189082765.

Almost surely, 2243726853969 is an apocalyptic number.

243726853969 is the 493687-th square number.

243726853969 is the 246844-th centered octagonal number.

It is an amenable number.

243726853969 is a deficient number, since it is larger than the sum of its proper divisors (827748234).

243726853969 is an frugal number, since it uses more digits than its factorization.

243726853969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 64.

Multiplying 243726853969 by its sum of digits (64), we get a square (15598518654016 = 39494962).

The spelling of 243726853969 in words is "two hundred forty-three billion, seven hundred twenty-six million, eight hundred fifty-three thousand, nine hundred sixty-nine".

Divisors: 1 383 1289 146689 493687 1661521 189082121 636362543 243726853969