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46049631789257 is a prime number
BaseRepresentation
bin10100111100001110000111…
…11100011110000011001001
320001001022011000102200122122
422132013003330132003021
522013434121214224012
6241534524144501025
712461655542566025
oct1236070374360311
9201038130380578
1046049631789257
11137445a26a7378
1251b888861a775
131c906003061a5
14b52b57b4b385
1554cccb064e72
hex29e1c3f1e0c9

46049631789257 has 2 divisors, whose sum is σ = 46049631789258. Its totient is φ = 46049631789256.

The previous prime is 46049631789223. The next prime is 46049631789277. The reversal of 46049631789257 is 75298713694064.

46049631789257 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., 24763551737401 + 21286080051856 = 4976299^2 + 4613684^2 .

It is a cyclic number.

It is not a de Polignac number, because 46049631789257 - 224 = 46049615012041 is a prime.

It is a super-2 number, since 2×460496317892572 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46049631789277) 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, 23024815894628 + 23024815894629.

It is an arithmetic number, because the mean of its divisors is an integer number (23024815894629).

It is a 2-persistent number, because it is pandigital, and so is 2⋅46049631789257 = 92099263578514, but 3⋅46049631789257 = 138148895367771 is not.

Almost surely, 246049631789257 is an apocalyptic number.

It is an amenable number.

46049631789257 is a deficient number, since it is larger than the sum of its proper divisors (1).

46049631789257 is an equidigital number, since it uses as much as digits as its factorization.

46049631789257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 548674560, while the sum is 71.

The spelling of 46049631789257 in words is "forty-six trillion, forty-nine billion, six hundred thirty-one million, seven hundred eighty-nine thousand, two hundred fifty-seven".