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84814459817473 is a prime number
BaseRepresentation
bin10011010010001101100111…
…101111111100111000000001
3102010022011221112101022010001
4103102031213233330320001
542104100003203124343
6500215120331040001
723602433244262651
oct2322154757747001
9363264845338101
1084814459817473
112502a679505381
12961973aba0001
133842c7a56c619
1416d3082828361
159c134339644d
hex4d2367bfce01

84814459817473 has 2 divisors, whose sum is σ = 84814459817474. Its totient is φ = 84814459817472.

The previous prime is 84814459817471. The next prime is 84814459817501. The reversal of 84814459817473 is 37471895441848.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77858881717824 + 6955578099649 = 8823768^2 + 2637343^2 .

It is a cyclic number.

It is not a de Polignac number, because 84814459817473 - 21 = 84814459817471 is a prime.

It is a super-2 number, since 2×848144598174732 (a number of 29 digits) contains 22 as substring.

Together with 84814459817471, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 84814459817396 and 84814459817405.

It is not a weakly prime, because it can be changed into another prime (84814459817471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42407229908736 + 42407229908737.

It is an arithmetic number, because the mean of its divisors is an integer number (42407229908737).

Almost surely, 284814459817473 is an apocalyptic number.

It is an amenable number.

84814459817473 is a deficient number, since it is larger than the sum of its proper divisors (1).

84814459817473 is an equidigital number, since it uses as much as digits as its factorization.

84814459817473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 867041280, while the sum is 73.

The spelling of 84814459817473 in words is "eighty-four trillion, eight hundred fourteen billion, four hundred fifty-nine million, eight hundred seventeen thousand, four hundred seventy-three".