Search a number
-
+
66712607530146 = 23219718813482101
BaseRepresentation
bin11110010101100101111010…
…10001100001110010100010
322202012122220022201100122100
433022302331101201302202
532221004410011431041
6353515203201551230
720023553414501034
oct1712627521416242
9282178808640570
1066712607530146
111a290726836156
127595425345516
132b2bc83343c16
141268c9bdd1c54
157aa53486c6b6
hex3cacbd461ca2

66712607530146 has 24 divisors (see below), whose sum is σ = 145277708791644. Its totient is φ = 22124654949600.

The previous prime is 66712607530141. The next prime is 66712607530169. The reversal of 66712607530146 is 64103570621766.

66712607530146 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 2 + 60 + 7 + 530 + 1 + 46 = 666.

66712607530146 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 2 ways, for example, as 41291740998225 + 25420866531921 = 6425865^2 + 5041911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66712607530092 and 66712607530101.

It is not an unprimeable number, because it can be changed into a prime (66712607530141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9406737505 + ... + 9406744596.

Almost surely, 266712607530146 is an apocalyptic number.

66712607530146 is an abundant number, since it is smaller than the sum of its proper divisors (78565101261498).

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

66712607530146 is a wasteful number, since it uses less digits than its factorization.

66712607530146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813482306 (or 18813482303 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 66712607530146 in words is "sixty-six trillion, seven hundred twelve billion, six hundred seven million, five hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 197 394 591 1182 1773 3546 18813482101 37626964202 56440446303 112880892606 169321338909 338642677818 3706255973897 7412511947794 11118767921691 22237535843382 33356303765073 66712607530146