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246368742401 is a prime number
BaseRepresentation
bin1110010101110010111…
…0001010110000000001
3212112220212020212011002
43211130232022300001
513014030344224101
6305102533101345
723541150520625
oct3453456126001
9775825225132
10246368742401
1195536806711
123b8b8487855
131a303986562
14bcd2447185
15661e130d6b
hex395cb8ac01

246368742401 has 2 divisors, whose sum is σ = 246368742402. Its totient is φ = 246368742400.

The previous prime is 246368742313. The next prime is 246368742407. The reversal of 246368742401 is 104247863642.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239488869376 + 6879873025 = 489376^2 + 82945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-246368742401 is a prime.

It is a super-4 number, since 4×2463687424014 (a number of 47 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (246368742407) 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, 123184371200 + 123184371201.

It is an arithmetic number, because the mean of its divisors is an integer number (123184371201).

Almost surely, 2246368742401 is an apocalyptic number.

It is an amenable number.

246368742401 is a deficient number, since it is larger than the sum of its proper divisors (1).

246368742401 is an equidigital number, since it uses as much as digits as its factorization.

246368742401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 246368742401 in words is "two hundred forty-six billion, three hundred sixty-eight million, seven hundred forty-two thousand, four hundred one".