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1006655004673 is a prime number
BaseRepresentation
bin11101010011000010101…
…00000110000000000001
310120020100111222200122121
432221201110012000001
5112443112140122143
62050241222204241
7132504564234013
oct16514124060001
93506314880577
101006655004673
11358a1356345a
1214311a883681
1373c08c7b526
1436a1823a1b3
151b2bab347ed
hexea61506001

1006655004673 has 2 divisors, whose sum is σ = 1006655004674. Its totient is φ = 1006655004672.

The previous prime is 1006655004601. The next prime is 1006655004757. The reversal of 1006655004673 is 3764005566001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935143152784 + 71511851889 = 967028^2 + 267417^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006655004673 - 29 = 1006655004161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006655004373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503327502336 + 503327502337.

It is an arithmetic number, because the mean of its divisors is an integer number (503327502337).

Almost surely, 21006655004673 is an apocalyptic number.

It is an amenable number.

1006655004673 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006655004673 is an equidigital number, since it uses as much as digits as its factorization.

1006655004673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 1006655004673 in words is "one trillion, six billion, six hundred fifty-five million, four thousand, six hundred seventy-three".