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1006684649 is a prime number
BaseRepresentation
bin111100000000001…
…100100111101001
32121011020212201122
4330000030213221
54030202402044
6243520425025
733642451445
oct7400144751
92534225648
101006684649
1147727a093
12241178175
1313073a9b9
14979ab825
155d5a1dee
hex3c00c9e9

1006684649 has 2 divisors, whose sum is σ = 1006684650. Its totient is φ = 1006684648.

The previous prime is 1006684589. The next prime is 1006684661. The reversal of 1006684649 is 9464866001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783720025 + 222964624 = 27995^2 + 14932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006684649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006684949) 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, 503342324 + 503342325.

It is an arithmetic number, because the mean of its divisors is an integer number (503342325).

Almost surely, 21006684649 is an apocalyptic number.

It is an amenable number.

1006684649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006684649 is an equidigital number, since it uses as much as digits as its factorization.

1006684649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 1006684649 is about 31728.2941394586. The cubic root of 1006684649 is about 1002.2232697418.

The spelling of 1006684649 in words is "one billion, six million, six hundred eighty-four thousand, six hundred forty-nine".