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73417442401 is a prime number
BaseRepresentation
bin100010001100000000…
…1010100010001100001
321000111120212111112101
41010120001110101201
52200324331124101
653421050330401
75206231651402
oct1043001242141
9230446774471
1073417442401
1129155261136
121228b429a01
136c00469714
1437a68439a9
151d9a661401
hex1118054461

73417442401 has 2 divisors, whose sum is σ = 73417442402. Its totient is φ = 73417442400.

The previous prime is 73417442381. The next prime is 73417442419. The reversal of 73417442401 is 10424471437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44626140001 + 28791302400 = 211249^2 + 169680^2 .

It is an emirp because it is prime and its reverse (10424471437) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73417442401 - 233 = 64827507809 is a prime.

It is not a weakly prime, because it can be changed into another prime (73417442431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36708721200 + 36708721201.

It is an arithmetic number, because the mean of its divisors is an integer number (36708721201).

Almost surely, 273417442401 is an apocalyptic number.

It is an amenable number.

73417442401 is a deficient number, since it is larger than the sum of its proper divisors (1).

73417442401 is an equidigital number, since it uses as much as digits as its factorization.

73417442401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 73417442401 in words is "seventy-three billion, four hundred seventeen million, four hundred forty-two thousand, four hundred one".