Search a number
-
+
7209955338496 = 2825726532
BaseRepresentation
bin110100011101011001011…
…0100111010100100000000
3221112021011011222020221021
41220322302310322210000
51421111442031312441
623200112513035224
71342621262124541
oct150726264724400
927467134866837
107209955338496
11232a7a7909719
12985407555b14
13403b852c8731
141acd6c5724c8
15c7832b5d3d1
hex68eb2d3a900

7209955338496 has 81 divisors (see below), whose sum is σ = 14470123100251. Its totient is φ = 3585451360256.

The previous prime is 7209955338461. The next prime is 7209955338497. The reversal of 7209955338496 is 6948335599027.

The square root of 7209955338496 is 2685136.

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

It can be written as a sum of positive squares in 4 ways, for example, as 984730736896 + 6225224601600 = 992336^2 + 2495040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7209955338497) 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, 11041278906 + ... + 11041279558.

Almost surely, 27209955338496 is an apocalyptic number.

7209955338496 is the 2685136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7209955338496

7209955338496 is an abundant number, since it is smaller than the sum of its proper divisors (7260167761755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7209955338496 is an frugal number, since it uses more digits than its factorization.

7209955338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 70.

The spelling of 7209955338496 in words is "seven trillion, two hundred nine billion, nine hundred fifty-five million, three hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 257 514 653 1028 1306 2056 2612 4112 5224 8224 10448 16448 20896 32896 41792 65792 66049 83584 132098 167168 167821 264196 335642 426409 528392 671284 852818 1056784 1342568 1705636 2113568 2685136 3411272 4227136 5370272 6822544 8454272 10740544 13645088 16908544 21481088 27290176 42962176 43129997 54580352 86259994 109160704 109587113 172519988 219174226 345039976 438348452 690079952 876696904 1380159904 1753393808 2760319808 3506787616 5520639616 7013575232 11041279232 14027150464 28054300928 28163888041 56327776082 112655552164 225311104328 450622208656 901244417312 1802488834624 3604977669248 7209955338496