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21085664429 is a prime number
BaseRepresentation
bin10011101000110011…
…011011010010101101
32000102111101201212102
4103220303123102231
5321140412230204
613404150544445
71344344122214
oct235063332255
960374351772
1021085664429
118a40342855
124105668125
131cb05a951b
14104057207b
1583621e41e
hex4e8cdb4ad

21085664429 has 2 divisors, whose sum is σ = 21085664430. Its totient is φ = 21085664428.

The previous prime is 21085664399. The next prime is 21085664441. The reversal of 21085664429 is 92446658012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19307102500 + 1778561929 = 138950^2 + 42173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21085664429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21085664489) 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, 10542832214 + 10542832215.

It is an arithmetic number, because the mean of its divisors is an integer number (10542832215).

Almost surely, 221085664429 is an apocalyptic number.

It is an amenable number.

21085664429 is a deficient number, since it is larger than the sum of its proper divisors (1).

21085664429 is an equidigital number, since it uses as much as digits as its factorization.

21085664429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 21085664429 in words is "twenty-one billion, eighty-five million, six hundred sixty-four thousand, four hundred twenty-nine".