Search a number
-
+
728844206052 = 2232359130134403
BaseRepresentation
bin10101001101100100111…
…11111111111111100100
32120200021101221212212210
422212302133333333210
543420133104043202
61314454300443420
7103441303350504
oct12466237777744
92520241855783
10728844206052
1126111260a616
12b9308549570
13539642479a1
14273c2049a04
1513e5b4c8c6c
hexa9b27fffe4

728844206052 has 96 divisors (see below), whose sum is σ = 1806094402560. Its totient is φ = 228264150400.

The previous prime is 728844206009. The next prime is 728844206093. The reversal of 728844206052 is 250602448827.

It is a junction number, because it is equal to n+sod(n) for n = 728844205992 and 728844206010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21168283 + ... + 21202685.

It is an arithmetic number, because the mean of its divisors is an integer number (18813483360).

Almost surely, 2728844206052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728844206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903047201280).

728844206052 is an abundant number, since it is smaller than the sum of its proper divisors (1077250196508).

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

728844206052 is a wasteful number, since it uses less digits than its factorization.

728844206052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35793 (or 35791 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 728844206052 in words is "seven hundred twenty-eight billion, eight hundred forty-four million, two hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1301 1357 2602 2714 3903 4071 5204 5428 7806 8142 15612 16284 29923 34403 59846 68806 76759 89769 103209 119692 137612 153518 179538 206418 230277 307036 359076 412836 460554 791269 921108 1582538 1765457 2029777 2373807 3165076 3530914 4059554 4747614 5296371 6089331 7061828 8119108 9495228 10592742 12178662 21185484 24357324 44758303 46684871 89516606 93369742 134274909 140054613 179033212 186739484 268549818 280109226 537099636 560218452 1029440969 2058881938 2640739877 3088322907 4117763876 5281479754 6176645814 7922219631 10562959508 12353291628 15844439262 31688878524 60737017171 121474034342 182211051513 242948068684 364422103026 728844206052