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45958044257 is a prime number
BaseRepresentation
bin101010110011010100…
…000001101001100001
311101121220011112201022
4222303110001221201
51223110224404012
633040212215225
73214611634136
oct526324015141
9141556145638
1045958044257
1118544132964
128aa730a515
13444554b538
14231d9b858d
1512dead3472
hexab3501a61

45958044257 has 2 divisors, whose sum is σ = 45958044258. Its totient is φ = 45958044256.

The previous prime is 45958044233. The next prime is 45958044271. The reversal of 45958044257 is 75244085954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24383134801 + 21574909456 = 156151^2 + 146884^2 .

It is a cyclic number.

It is not a de Polignac number, because 45958044257 - 210 = 45958043233 is a prime.

It is a super-2 number, since 2×459580442572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45958044199 and 45958044208.

It is not a weakly prime, because it can be changed into another prime (45958044857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22979022128 + 22979022129.

It is an arithmetic number, because the mean of its divisors is an integer number (22979022129).

Almost surely, 245958044257 is an apocalyptic number.

It is an amenable number.

45958044257 is a deficient number, since it is larger than the sum of its proper divisors (1).

45958044257 is an equidigital number, since it uses as much as digits as its factorization.

45958044257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064000, while the sum is 53.

The spelling of 45958044257 in words is "forty-five billion, nine hundred fifty-eight million, forty-four thousand, two hundred fifty-seven".