Search a number
-
+
46082624666213 is a prime number
BaseRepresentation
bin10100111101001011100100…
…11110010011101001100101
320001011110022100100111101102
422132211302132103221211
522020004203403304323
6242002022052405445
712464234253452462
oct1236456236235145
9201143270314342
1046082624666213
1113757593286133
125203155916885
131c9375a75a5a5
14b545a7866669
1554daac7c7328
hex29e972793a65

46082624666213 has 2 divisors, whose sum is σ = 46082624666214. Its totient is φ = 46082624666212.

The previous prime is 46082624666201. The next prime is 46082624666303. The reversal of 46082624666213 is 31266642628064.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24235909308004 + 21846715358209 = 4922998^2 + 4674047^2 .

It is a cyclic number.

It is not a de Polignac number, because 46082624666213 - 212 = 46082624662117 is a prime.

It is a super-2 number, since 2×460826246662132 (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 (46082624666513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23041312333106 + 23041312333107.

It is an arithmetic number, because the mean of its divisors is an integer number (23041312333107).

Almost surely, 246082624666213 is an apocalyptic number.

It is an amenable number.

46082624666213 is a deficient number, since it is larger than the sum of its proper divisors (1).

46082624666213 is an equidigital number, since it uses as much as digits as its factorization.

46082624666213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23887872, while the sum is 56.

The spelling of 46082624666213 in words is "forty-six trillion, eighty-two billion, six hundred twenty-four million, six hundred sixty-six thousand, two hundred thirteen".