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41585348653 is a prime number
BaseRepresentation
bin100110101110101011…
…100001000000101101
310222100011011121000021
4212232223201000231
51140131322124103
631034250202141
73001344426352
oct465653410055
9128304147007
1041585348653
11166aa932a42
128086a23351
133bc96585a4
142026d6a629
151135c8ebbd
hex9aeae102d

41585348653 has 2 divisors, whose sum is σ = 41585348654. Its totient is φ = 41585348652.

The previous prime is 41585348639. The next prime is 41585348671. The reversal of 41585348653 is 35684358514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41281299684 + 304048969 = 203178^2 + 17437^2 .

It is a cyclic number.

It is not a de Polignac number, because 41585348653 - 217 = 41585217581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41585348653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41585348683) 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, 20792674326 + 20792674327.

It is an arithmetic number, because the mean of its divisors is an integer number (20792674327).

Almost surely, 241585348653 is an apocalyptic number.

It is an amenable number.

41585348653 is a deficient number, since it is larger than the sum of its proper divisors (1).

41585348653 is an equidigital number, since it uses as much as digits as its factorization.

41585348653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912000, while the sum is 52.

The spelling of 41585348653 in words is "forty-one billion, five hundred eighty-five million, three hundred forty-eight thousand, six hundred fifty-three".