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21655404442249 is a prime number
BaseRepresentation
bin1001110110010000010101…
…01100000111001010001001
32211200020101100222021021121
410323020022230013022021
510314300232014122444
6114020204440235241
74363360052432044
oct473101254071211
984606340867247
1021655404442249
11699a007285a76
122518b6716bb21
13c111328438c6
1454c1acd39c5b
15278490506084
hex13b20ab07289

21655404442249 has 2 divisors, whose sum is σ = 21655404442250. Its totient is φ = 21655404442248.

The previous prime is 21655404442229. The next prime is 21655404442277. The reversal of 21655404442249 is 94224440455612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19120723925625 + 2534680516624 = 4372725^2 + 1592068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21655404442249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21655404442196 and 21655404442205.

It is not a weakly prime, because it can be changed into another prime (21655404442229) 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, 10827702221124 + 10827702221125.

It is an arithmetic number, because the mean of its divisors is an integer number (10827702221125).

Almost surely, 221655404442249 is an apocalyptic number.

It is an amenable number.

21655404442249 is a deficient number, since it is larger than the sum of its proper divisors (1).

21655404442249 is an equidigital number, since it uses as much as digits as its factorization.

21655404442249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11059200, while the sum is 52.

The spelling of 21655404442249 in words is "twenty-one trillion, six hundred fifty-five billion, four hundred four million, four hundred forty-two thousand, two hundred forty-nine".