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20344546002401 is a prime number
BaseRepresentation
bin1001010000000110101010…
…11100000000010111100001
32200000220211101112220211122
410220003111130000113201
510131311112234034101
6111134053322422025
74166562546513335
oct450032534002741
980026741486748
1020344546002401
116534089923255
122346aab361915
13b47636c5733a
1450497760d7c5
1525431d1a551b
hex1280d57005e1

20344546002401 has 2 divisors, whose sum is σ = 20344546002402. Its totient is φ = 20344546002400.

The previous prime is 20344546002331. The next prime is 20344546002427. The reversal of 20344546002401 is 10420064544302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17813455918801 + 2531090083600 = 4220599^2 + 1590940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20344546002401 is a prime.

It is not a weakly prime, because it can be changed into another prime (20344546002101) 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, 10172273001200 + 10172273001201.

It is an arithmetic number, because the mean of its divisors is an integer number (10172273001201).

Almost surely, 220344546002401 is an apocalyptic number.

It is an amenable number.

20344546002401 is a deficient number, since it is larger than the sum of its proper divisors (1).

20344546002401 is an equidigital number, since it uses as much as digits as its factorization.

20344546002401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 20344546002401 in words is "twenty trillion, three hundred forty-four billion, five hundred forty-six million, two thousand, four hundred one".