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8001437215073 is a prime number
BaseRepresentation
bin111010001101111101011…
…0100101010100101100001
31001022221002220202111022012
41310123322310222211201
52022043420411340243
625003450504322305
71454041034100521
oct164337264524541
931287086674265
108001437215073
112605432790195
12a92895173395
134606bc5a2993
141d93b34bb681
15dd20820bd18
hex746fad2a961

8001437215073 has 2 divisors, whose sum is σ = 8001437215074. Its totient is φ = 8001437215072.

The previous prime is 8001437215049. The next prime is 8001437215091. The reversal of 8001437215073 is 3705127341008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5519529999424 + 2481907215649 = 2349368^2 + 1575407^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001437215073 - 28 = 8001437214817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8001437215073.

It is not a weakly prime, because it can be changed into another prime (8001437212073) 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, 4000718607536 + 4000718607537.

It is an arithmetic number, because the mean of its divisors is an integer number (4000718607537).

Almost surely, 28001437215073 is an apocalyptic number.

It is an amenable number.

8001437215073 is a deficient number, since it is larger than the sum of its proper divisors (1).

8001437215073 is an equidigital number, since it uses as much as digits as its factorization.

8001437215073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 8001437215073 in words is "eight trillion, one billion, four hundred thirty-seven million, two hundred fifteen thousand, seventy-three".