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104414766593 is a prime number
BaseRepresentation
bin110000100111110011…
…0101110011000000001
3100222111211210201111112
41201033212232120001
53202320140012333
6115544550453105
710354331605064
oct1411746563001
9328454721445
10104414766593
1140311460635
12182a0364195
139b00342a77
1450a75008db
152ab1add948
hex184f9ae601

104414766593 has 2 divisors, whose sum is σ = 104414766594. Its totient is φ = 104414766592.

The previous prime is 104414766583. The next prime is 104414766689. The reversal of 104414766593 is 395667414401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60659749264 + 43755017329 = 246292^2 + 209177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104414766593 is a prime.

It is not a weakly prime, because it can be changed into another prime (104414766553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52207383296 + 52207383297.

It is an arithmetic number, because the mean of its divisors is an integer number (52207383297).

Almost surely, 2104414766593 is an apocalyptic number.

It is an amenable number.

104414766593 is a deficient number, since it is larger than the sum of its proper divisors (1).

104414766593 is an equidigital number, since it uses as much as digits as its factorization.

104414766593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 104414766593 in words is "one hundred four billion, four hundred fourteen million, seven hundred sixty-six thousand, five hundred ninety-three".