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4004600000041 is a prime number
BaseRepresentation
bin111010010001100100110…
…000101010111000101001
3112011211120110101220201001
4322101210300222320221
51011102410100000131
612303404323555001
7562215502236004
oct72214460527051
915154513356631
104004600000041
1113043833337a3
1254815052ba61
1323082ab15a54
14dbb7623a53b
156e27ec4d261
hex3a464c2ae29

4004600000041 has 2 divisors, whose sum is σ = 4004600000042. Its totient is φ = 4004600000040.

The previous prime is 4004599999987. The next prime is 4004600000047. The reversal of 4004600000041 is 1400000064004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2623117116816 + 1381482883225 = 1619604^2 + 1175365^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004600000041 - 29 = 4004599999529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004599999964 and 4004600000018.

It is not a weakly prime, because it can be changed into another prime (4004600000047) 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, 2002300000020 + 2002300000021.

It is an arithmetic number, because the mean of its divisors is an integer number (2002300000021).

Almost surely, 24004600000041 is an apocalyptic number.

It is an amenable number.

4004600000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004600000041 is an equidigital number, since it uses as much as digits as its factorization.

4004600000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 4004600000041 its reverse (1400000064004), we get a palindrome (5404600064045).

The spelling of 4004600000041 in words is "four trillion, four billion, six hundred million, forty-one", and thus it is an aban number.