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4000010009 is a prime number
BaseRepresentation
bin1110111001101011…
…0100111100011001
3101022202201120011212
43232122310330121
531143000310014
61500530032505
7201060344522
oct35632647431
911282646155
104000010009
1117729a07a6
12937718735
134b9926138
1429d357849
1518627823e
hexee6b4f19

4000010009 has 2 divisors, whose sum is σ = 4000010010. Its totient is φ = 4000010008.

The previous prime is 4000009973. The next prime is 4000010041. The reversal of 4000010009 is 9000100004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2887987600 + 1112022409 = 53740^2 + 33347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4000010009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000009975 and 4000010002.

It is not a weakly prime, because it can be changed into another prime (4000010099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000005004 + 2000005005.

It is an arithmetic number, because the mean of its divisors is an integer number (2000005005).

Almost surely, 24000010009 is an apocalyptic number.

It is an amenable number.

4000010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000010009 is an equidigital number, since it uses as much as digits as its factorization.

4000010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4000010009 is about 63245.6323314108. The cubic root of 4000010009 is about 1587.4023759919.

The spelling of 4000010009 in words is "four billion, ten thousand, nine".