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46153427390513 is a prime number
BaseRepresentation
bin10100111111001111011101…
…01001010001000000110001
320001102020001201011112222122
422133213232221101000301
522022134204402444023
6242054331500444025
712502321645623302
oct1237475651210061
9201366051145878
1046153427390513
11137846165a9913
125214a15549615
131c9a33229cb21
14b57ba2d167a9
155508535ec2c8
hex29f9eea51031

46153427390513 has 2 divisors, whose sum is σ = 46153427390514. Its totient is φ = 46153427390512.

The previous prime is 46153427390393. The next prime is 46153427390527. The reversal of 46153427390513 is 31509372435164.

46153427390513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42669336359329 + 3484091031184 = 6532177^2 + 1866572^2 .

It is a cyclic number.

It is not a de Polignac number, because 46153427390513 - 226 = 46153360281649 is a prime.

It is not a weakly prime, because it can be changed into another prime (46153427390533) 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, 23076713695256 + 23076713695257.

It is an arithmetic number, because the mean of its divisors is an integer number (23076713695257).

Almost surely, 246153427390513 is an apocalyptic number.

It is an amenable number.

46153427390513 is a deficient number, since it is larger than the sum of its proper divisors (1).

46153427390513 is an equidigital number, since it uses as much as digits as its factorization.

46153427390513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8164800, while the sum is 53.

The spelling of 46153427390513 in words is "forty-six trillion, one hundred fifty-three billion, four hundred twenty-seven million, three hundred ninety thousand, five hundred thirteen".