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330782568769 = 5751372
BaseRepresentation
bin1001101000001000010…
…11010111000101000001
31011121210210202112122201
410310010023113011001
520404420314200034
6411543122233201
732620046304652
oct4640413270501
91147723675581
10330782568769
11118314155884
12541364b5801
1325267382743
141201d499529
15890ed6a014
hex4d042d7141

330782568769 has 3 divisors (see below), whose sum is σ = 330783143907. Its totient is φ = 330781993632.

The previous prime is 330782568751. The next prime is 330782568841. The reversal of 330782568769 is 967865287033.

The square root of 330782568769 is 575137.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 41459068225 + 289323500544 = 203615^2 + 537888^2 .

It is not a de Polignac number, because 330782568769 - 217 = 330782437697 is a prime.

It is a super-2 number, since 2×3307825687692 (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 330782568769.

It is not an unprimeable number, because it can be changed into a prime (330782568719) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287569 + ... + 862705.

It is an arithmetic number, because the mean of its divisors is an integer number (110261047969).

Almost surely, 2330782568769 is an apocalyptic number.

330782568769 is the 575137-th square number.

330782568769 is the 287569-th centered octagonal number.

It is an amenable number.

330782568769 is a deficient number, since it is larger than the sum of its proper divisors (575138).

330782568769 is an frugal number, since it uses more digits than its factorization.

330782568769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150274 (or 575137 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

Multiplying 330782568769 by its sum of digits (64), we get a square (21170084401216 = 46010962).

The spelling of 330782568769 in words is "three hundred thirty billion, seven hundred eighty-two million, five hundred sixty-eight thousand, seven hundred sixty-nine".

Divisors: 1 575137 330782568769