Search a number
-
+
130762104226056 = 23321816140336473
BaseRepresentation
bin11101101110110101101100…
…110001011100000100001000
3122010222201211212120020202100
4131232311230301130010020
5114114401242140213211
61142035140440233400
736354151561560522
oct3556655461340410
9563881755506670
10130762104226056
1138734995969086
12127ba6a416b860
1357c6a763b9884
142440cc35c2a12
15101b6509a3156
hex76ed6cc5c108

130762104226056 has 24 divisors (see below), whose sum is σ = 354147365612430. Its totient is φ = 43587368075328.

The previous prime is 130762104226037. The next prime is 130762104226067. The reversal of 130762104226056 is 650622401267031.

130762104226056 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 2 + 10 + 4 + 22 + 605 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96815563460100 + 33946540765956 = 9839490^2 + 5826366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 908070168165 + ... + 908070168308.

Almost surely, 2130762104226056 is an apocalyptic number.

It is an amenable number.

130762104226056 is an abundant number, since it is smaller than the sum of its proper divisors (223385261386374).

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

130762104226056 is a wasteful number, since it uses less digits than its factorization.

130762104226056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816140336485 (or 1816140336478 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 130762104226056 in words is "one hundred thirty trillion, seven hundred sixty-two billion, one hundred four million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1816140336473 3632280672946 5448421009419 7264561345892 10896842018838 14529122691784 16345263028257 21793684037676 32690526056514 43587368075352 65381052113028 130762104226056