Search a number
-
+
450659801344 = 28419572
BaseRepresentation
bin1101000111011010110…
…10101101100100000000
31121002020020220220220111
412203231122231210000
524340422402120334
6543010311321104
744362525051564
oct6435532554400
91532206826814
10450659801344
1116413a788a15
1273411080194
133365ccb435c
1417b523a56a4
15bac9170064
hex68ed6ad900

450659801344 has 27 divisors (see below), whose sum is σ = 899580653377. Its totient is φ = 225324530176.

The previous prime is 450659801329. The next prime is 450659801351. The reversal of 450659801344 is 443108956054.

The square root of 450659801344 is 671312.

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., 246095366400 + 204564434944 = 496080^2 + 452288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10720014 + ... + 10761970.

Almost surely, 2450659801344 is an apocalyptic number.

450659801344 is the 671312-nd square number.

It is an amenable number.

450659801344 is a deficient number, since it is larger than the sum of its proper divisors (448920852033).

450659801344 is an frugal number, since it uses more digits than its factorization.

450659801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83930 (or 41959 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 450659801344 by its sum of digits (49), we get a square (22082330265856 = 46991842).

The spelling of 450659801344 in words is "four hundred fifty billion, six hundred fifty-nine million, eight hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 41957 83914 167828 335656 671312 1342624 2685248 5370496 10740992 1760389849 3520779698 7041559396 14083118792 28166237584 56332475168 112664950336 225329900672 450659801344