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4417427551601 is a prime number
BaseRepresentation
bin100000001001000001100…
…1100110011010101110001
3120122022011010021102101002
41000102003030303111301
51034333342423122401
613221201015051345
7634101654440351
oct100220314632561
916568133242332
104417427551601
111453469766479
125b4163670b55
1326073bb9718c
14113b39cb8b61
1579d92882a6b
hex40483333571

4417427551601 has 2 divisors, whose sum is σ = 4417427551602. Its totient is φ = 4417427551600.

The previous prime is 4417427551597. The next prime is 4417427551627. The reversal of 4417427551601 is 1061557247144.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4072566163600 + 344861388001 = 2018060^2 + 587249^2 .

It is a cyclic number.

It is not a de Polignac number, because 4417427551601 - 22 = 4417427551597 is a prime.

It is not a weakly prime, because it can be changed into another prime (4417427557601) 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, 2208713775800 + 2208713775801.

It is an arithmetic number, because the mean of its divisors is an integer number (2208713775801).

Almost surely, 24417427551601 is an apocalyptic number.

It is an amenable number.

4417427551601 is a deficient number, since it is larger than the sum of its proper divisors (1).

4417427551601 is an equidigital number, since it uses as much as digits as its factorization.

4417427551601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 4417427551601 in words is "four trillion, four hundred seventeen billion, four hundred twenty-seven million, five hundred fifty-one thousand, six hundred one".