Search a number
-
+
164423710257421 is a prime number
BaseRepresentation
bin100101011000101011100000…
…110101111011000100001101
3210120011202100001222222210011
4211120223200311323010031
5133022404224311214141
61341411113144313221
746430135551100056
oct4530534065730415
9716152301888704
10164423710257421
1148432781a1760a
12165364bba72811
1370991213ab4c4
142c862159c372d
151402088582881
hex958ae0d7b10d

164423710257421 has 2 divisors, whose sum is σ = 164423710257422. Its totient is φ = 164423710257420.

The previous prime is 164423710257383. The next prime is 164423710257463. The reversal of 164423710257421 is 124752017324461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156188756002500 + 8234954254921 = 12497550^2 + 2869661^2 .

It is a cyclic number.

It is not a de Polignac number, because 164423710257421 - 219 = 164423709733133 is a prime.

It is a super-3 number, since 3×1644237102574213 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164423710258421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82211855128710 + 82211855128711.

It is an arithmetic number, because the mean of its divisors is an integer number (82211855128711).

Almost surely, 2164423710257421 is an apocalyptic number.

It is an amenable number.

164423710257421 is a deficient number, since it is larger than the sum of its proper divisors (1).

164423710257421 is an equidigital number, since it uses as much as digits as its factorization.

164423710257421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 164423710257421 in words is "one hundred sixty-four trillion, four hundred twenty-three billion, seven hundred ten million, two hundred fifty-seven thousand, four hundred twenty-one".