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1006876769 is a prime number
BaseRepresentation
bin111100000000111…
…011100001100001
32121011121122021012
4330000323201201
54030230024034
6243524510305
733644211533
oct7400734141
92534548235
101006876769
114773a0468
1224124b395
131307a7292
1497a1b853
155d5ddcce
hex3c03b861

1006876769 has 2 divisors, whose sum is σ = 1006876770. Its totient is φ = 1006876768.

The previous prime is 1006876763. The next prime is 1006876813. The reversal of 1006876769 is 9676786001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 934830625 + 72046144 = 30575^2 + 8488^2 .

It is an emirp because it is prime and its reverse (9676786001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006876769 - 24 = 1006876753 is a prime.

It is a super-2 number, since 2×10068767692 = 2027601655903758722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006876763) 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, 503438384 + 503438385.

It is an arithmetic number, because the mean of its divisors is an integer number (503438385).

Almost surely, 21006876769 is an apocalyptic number.

It is an amenable number.

1006876769 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006876769 is an equidigital number, since it uses as much as digits as its factorization.

1006876769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 1006876769 is about 31731.3215766378. The cubic root of 1006876769 is about 1002.2870218769.

The spelling of 1006876769 in words is "one billion, six million, eight hundred seventy-six thousand, seven hundred sixty-nine".