Search a number
-
+
125150382756 = 22327284232
BaseRepresentation
bin111010010001110001…
…0110100101010100100
3102222000221112011102100
41310203202310222210
54022301444222011
6133254315012100
712020225462400
oct1644342645244
9388027464370
10125150382756
11490921459a3
122030873a030
13ba5624a129
1460b3392100
1533c7214d56
hex1d238b4aa4

125150382756 has 81 divisors (see below), whose sum is σ = 368045416011. Its totient is φ = 35753007024.

The previous prime is 125150382739. The next prime is 125150382827. The reversal of 125150382756 is 657283051521.

The square root of 125150382756 is 353766.

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

125150382756 is a `hidden beast` number, since 1 + 2 + 515 + 0 + 3 + 82 + 7 + 56 = 666.

125150382756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14853961 + ... + 14862383.

Almost surely, 2125150382756 is an apocalyptic number.

125150382756 is the 353766-th square number.

It is an amenable number.

125150382756 is an abundant number, since it is smaller than the sum of its proper divisors (242895033255).

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

125150382756 is an frugal number, since it uses more digits than its factorization.

125150382756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 125150382756 in words is "one hundred twenty-five billion, one hundred fifty million, three hundred eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 8423 16846 25269 33692 50538 58961 75807 101076 117922 151614 176883 235844 303228 353766 412727 530649 707532 825454 1061298 1238181 1650908 2122596 2476362 3714543 4952724 7429086 14858172 70946929 141893858 212840787 283787716 425681574 496628503 638522361 851363148 993257006 1277044722 1489885509 1986514012 2554089444 2979771018 3476399521 4469656527 5959542036 6952799042 8939313054 10429198563 13905598084 17878626108 20858397126 31287595689 41716794252 62575191378 125150382756