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146813346677 is a prime number
BaseRepresentation
bin1000100010111011000…
…0011110001101110101
3112000221200012202022102
42020232300132031311
54401133204043202
6151240051311445
713415112566534
oct2105660361565
9460850182272
10146813346677
1157299341368
12245535ab585
1310ac930488a
14716a47c31b
153c43e6ad02
hex222ec1e375

146813346677 has 2 divisors, whose sum is σ = 146813346678. Its totient is φ = 146813346676.

The previous prime is 146813346649. The next prime is 146813346697. The reversal of 146813346677 is 776643318641.

146813346677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139749616561 + 7063730116 = 373831^2 + 84046^2 .

It is a cyclic number.

It is not a de Polignac number, because 146813346677 - 212 = 146813342581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146813346697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73406673338 + 73406673339.

It is an arithmetic number, because the mean of its divisors is an integer number (73406673339).

Almost surely, 2146813346677 is an apocalyptic number.

It is an amenable number.

146813346677 is a deficient number, since it is larger than the sum of its proper divisors (1).

146813346677 is an equidigital number, since it uses as much as digits as its factorization.

146813346677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12192768, while the sum is 56.

The spelling of 146813346677 in words is "one hundred forty-six billion, eight hundred thirteen million, three hundred forty-six thousand, six hundred seventy-seven".