Search a number
-
+
46164044040253 is a prime number
BaseRepresentation
bin10100111111100011001110…
…11100100100100000111101
320001110020110121021020112021
422133301213130210200331
522022322430233242003
6242103245152240141
712503146021641016
oct1237614734444075
9201406417236467
1046164044040253
1113789074403a07
125216a98b40051
131c9b3349653a9
14b584ccd1800d
15550c756b62bd
hex29fc6772483d

46164044040253 has 2 divisors, whose sum is σ = 46164044040254. Its totient is φ = 46164044040252.

The previous prime is 46164044040209. The next prime is 46164044040277. The reversal of 46164044040253 is 35204044046164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35714942535204 + 10449101505049 = 5976198^2 + 3232507^2 .

It is a cyclic number.

It is not a de Polignac number, because 46164044040253 - 229 = 46163507169341 is a prime.

It is a super-2 number, since 2×461640440402532 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46164054040253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23082022020126 + 23082022020127.

It is an arithmetic number, because the mean of its divisors is an integer number (23082022020127).

Almost surely, 246164044040253 is an apocalyptic number.

It is an amenable number.

46164044040253 is a deficient number, since it is larger than the sum of its proper divisors (1).

46164044040253 is an equidigital number, since it uses as much as digits as its factorization.

46164044040253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 46164044040253 in words is "forty-six trillion, one hundred sixty-four billion, forty-four million, forty thousand, two hundred fifty-three".