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146830477249 = 1737541743093
BaseRepresentation
bin1000100010111111000…
…1110100011111000001
3112000222212110002001001
42020233301310133001
54401202100232444
6151241502412001
713415411315101
oct2105761643701
9460885402031
10146830477249
11572a7a81865
1224559291001
1310acca21c01
14716c85b201
153c457018d4
hex222fc747c1

146830477249 has 16 divisors (see below), whose sum is σ = 159702571728. Its totient is φ = 134430492672.

The previous prime is 146830477247. The next prime is 146830477253. The reversal of 146830477249 is 942774038641.

146830477249 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 8 ways, for example, as 116964225 + 146713513024 = 10815^2 + 383032^2 .

It is a cyclic number.

It is not a de Polignac number, because 146830477249 - 21 = 146830477247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146830477249.

It is not an unprimeable number, because it can be changed into a prime (146830477243) 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 in 15 ways as a sum of consecutive naturals, for example, 3385747 + ... + 3428839.

It is an arithmetic number, because the mean of its divisors is an integer number (9981410733).

Almost surely, 2146830477249 is an apocalyptic number.

It is an amenable number.

146830477249 is a deficient number, since it is larger than the sum of its proper divisors (12872094479).

146830477249 is a wasteful number, since it uses less digits than its factorization.

146830477249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48564.

The product of its (nonzero) digits is 8128512, while the sum is 55.

The spelling of 146830477249 in words is "one hundred forty-six billion, eight hundred thirty million, four hundred seventy-seven thousand, two hundred forty-nine".

Divisors: 1 17 37 629 5417 43093 92089 200429 732581 1594441 3407293 27105497 233434781 3968391277 8637086897 146830477249