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1051728189444 = 223259228972
BaseRepresentation
bin11110100110111111110…
…00101001100000000100
310201112200202010201100100
433103133320221200010
5114212414404030234
62123053545044100
7135661543051662
oct17233770514004
93645622121310
101051728189444
11376043165289
1214b9b9786630
13782400a496a
1438c924b9c32
151c557bcc399
hexf4dfe29804

1051728189444 has 81 divisors (see below), whose sum is σ = 2705292616117. Its totient is φ = 344515133568.

The previous prime is 1051728189431. The next prime is 1051728189451. The reversal of 1051728189444 is 4449818271501.

It is a happy number.

The square root of 1051728189444 is 1025538.

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

1051728189444 is a `hidden beast` number, since 1 + 0 + 5 + 17 + 2 + 8 + 189 + 444 = 666.

1051728189444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 119128522500 + 932599666944 = 345150^2 + 965712^2 .

It is a super-2 number, since 2×10517281894442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 363039004 + ... + 363041900.

Almost surely, 21051728189444 is an apocalyptic number.

1051728189444 is the 1025538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051728189444

1051728189444 is an abundant number, since it is smaller than the sum of its proper divisors (1653564426673).

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

1051728189444 is an frugal number, since it uses more digits than its factorization.

1051728189444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1051728189444 in words is "one trillion, fifty-one billion, seven hundred twenty-eight million, one hundred eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2897 3481 5794 6962 8691 10443 11588 13924 17382 20886 26073 31329 34764 41772 52146 62658 104292 125316 170923 341846 512769 683692 1025538 1538307 2051076 3076614 6153228 8392609 10084457 16785218 20168914 25177827 30253371 33570436 40337828 50355654 60506742 75533481 90760113 100711308 121013484 151066962 181520226 302133924 363040452 495163931 990327862 1485491793 1980655724 2970983586 4456475379 5941967172 8912950758 17825901516 29214671929 58429343858 87644015787 116858687716 175288031574 262932047361 350576063148 525864094722 1051728189444