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104416693289 is a prime number
BaseRepresentation
bin110000100111110111…
…0000100110000101001
3100222111222102121102122
41201033232010300221
53202321133141124
6115545100041025
710354354151216
oct1411756046051
9328458377378
10104416693289
1140312557147
12182a0b33175
139b00868a1c
1450a7882b0d
152ab1d6e75e
hex184fb84c29

104416693289 has 2 divisors, whose sum is σ = 104416693290. Its totient is φ = 104416693288.

The previous prime is 104416693247. The next prime is 104416693321. The reversal of 104416693289 is 982396614401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64982676889 + 39434016400 = 254917^2 + 198580^2 .

It is a cyclic number.

It is not a de Polignac number, because 104416693289 - 224 = 104399916073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104416693289.

It is not a weakly prime, because it can be changed into another prime (104413693289) 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, 52208346644 + 52208346645.

It is an arithmetic number, because the mean of its divisors is an integer number (52208346645).

Almost surely, 2104416693289 is an apocalyptic number.

It is an amenable number.

104416693289 is a deficient number, since it is larger than the sum of its proper divisors (1).

104416693289 is an equidigital number, since it uses as much as digits as its factorization.

104416693289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 104416693289 in words is "one hundred four billion, four hundred sixteen million, six hundred ninety-three thousand, two hundred eighty-nine".