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1006010874929 is a prime number
BaseRepresentation
bin11101010001110101110…
…10111011110000110001
310120011200121221111202102
432220322322323300301
5112440302240444204
62050053252230145
7132452613226514
oct16507272736061
93504617844672
101006010874929
11358712a04225
12142b7b00b355
1373b356a1478
1436996886d7b
151b27e2eb41e
hexea3aebbc31

1006010874929 has 2 divisors, whose sum is σ = 1006010874930. Its totient is φ = 1006010874928.

The previous prime is 1006010874871. The next prime is 1006010874937. The reversal of 1006010874929 is 9294780106001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 995858297329 + 10152577600 = 997927^2 + 100760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006010874929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006010877929) 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 as a sum of consecutive naturals, namely, 503005437464 + 503005437465.

It is an arithmetic number, because the mean of its divisors is an integer number (503005437465).

Almost surely, 21006010874929 is an apocalyptic number.

It is an amenable number.

1006010874929 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006010874929 is an equidigital number, since it uses as much as digits as its factorization.

1006010874929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 1006010874929 in words is "one trillion, six billion, ten million, eight hundred seventy-four thousand, nine hundred twenty-nine".