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1006644049 is a prime number
BaseRepresentation
bin111100000000000…
…010101101010001
32121011011211000221
4330000002231101
54030200102144
6243515513041
733642222205
oct7400025521
92534154027
101006644049
11477251634
12241158781
13130725388
149799ab05
155d594d84
hex3c002b51

1006644049 has 2 divisors, whose sum is σ = 1006644050. Its totient is φ = 1006644048.

The previous prime is 1006643993. The next prime is 1006644091. The reversal of 1006644049 is 9404466001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998117649 + 8526400 = 31593^2 + 2920^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006644049 - 29 = 1006643537 is a prime.

It is a super-2 number, since 2×10066440492 = 2026664482774228802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006144049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503322024 + 503322025.

It is an arithmetic number, because the mean of its divisors is an integer number (503322025).

Almost surely, 21006644049 is an apocalyptic number.

It is an amenable number.

1006644049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006644049 is an equidigital number, since it uses as much as digits as its factorization.

1006644049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1006644049 is about 31727.6543255249. The cubic root of 1006644049 is about 1002.2097962038.

The spelling of 1006644049 in words is "one billion, six million, six hundred forty-four thousand, forty-nine".