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3146133417673 is a prime number
BaseRepresentation
bin101101110010000100001…
…010100010111011001001
3102010202201110002001111211
4231302010022202323021
5403021240123331143
610405151433453121
7443205055545421
oct55620412427311
912122643061454
103146133417673
1110032a4327344
124298a98711a1
1319a8aa001c0c
14ac3b8d43481
1556c88b5449d
hex2dc842a2ec9

3146133417673 has 2 divisors, whose sum is σ = 3146133417674. Its totient is φ = 3146133417672.

The previous prime is 3146133417589. The next prime is 3146133417683. The reversal of 3146133417673 is 3767143316413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1670328777744 + 1475804639929 = 1292412^2 + 1214827^2 .

It is a cyclic number.

It is not a de Polignac number, because 3146133417673 - 225 = 3146099863241 is a prime.

It is not a weakly prime, because it can be changed into another prime (3146133417683) 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, 1573066708836 + 1573066708837.

It is an arithmetic number, because the mean of its divisors is an integer number (1573066708837).

Almost surely, 23146133417673 is an apocalyptic number.

It is an amenable number.

3146133417673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3146133417673 is an equidigital number, since it uses as much as digits as its factorization.

3146133417673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2286144, while the sum is 49.

The spelling of 3146133417673 in words is "three trillion, one hundred forty-six billion, one hundred thirty-three million, four hundred seventeen thousand, six hundred seventy-three".