Search a number
-
+
728289322272 = 2532502872
BaseRepresentation
bin10101001100100010110…
…11010010010100100000
32120121211201211212102200
422212101123102110200
543413014031303042
61314323235413200
7103421455045521
oct12462133222440
92517751755380
10728289322272
11260958377186
12b9192754200
13538a62b75a5
142736c488848
1513e2791dc4c
hexa9916d2520

728289322272 has 54 divisors (see below), whose sum is σ = 2071113946083. Its totient is φ = 242758279872.

The previous prime is 728289322217. The next prime is 728289322283. The reversal of 728289322272 is 272223982827.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

728289322272 is a `hidden beast` number, since 7 + 28 + 28 + 9 + 322 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 364144661136 + 364144661136 = 603444^2 + 603444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=603444.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14457513 + ... + 14507799.

Almost surely, 2728289322272 is an apocalyptic number.

728289322272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

728289322272 is an abundant number, since it is smaller than the sum of its proper divisors (1342824623811).

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

728289322272 is an frugal number, since it uses more digits than its factorization.

728289322272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100590 (or 50292 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 728289322272 in words is "seven hundred twenty-eight billion, two hundred eighty-nine million, three hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 50287 100574 150861 201148 301722 402296 452583 603444 804592 905166 1206888 1609184 1810332 2413776 3620664 4827552 7241328 14482656 2528782369 5057564738 7586347107 10115129476 15172694214 20230258952 22759041321 30345388428 40460517904 45518082642 60690776856 80921035808 91036165284 121381553712 182072330568 242763107424 364144661136 728289322272