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20957145049 is a prime number
BaseRepresentation
bin10011100001001001…
…001010011111011001
32000002112120021102101
4103201021022133121
5320410012120144
613343320203401
71341223536151
oct234111123731
960075507371
1020957145049
118984842295
12408a609561
131c8ca8b959
14102b479761
15829cd46d4
hex4e124a7d9

20957145049 has 2 divisors, whose sum is σ = 20957145050. Its totient is φ = 20957145048.

The previous prime is 20957145031. The next prime is 20957145061. The reversal of 20957145049 is 94054175902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20842119424 + 115025625 = 144368^2 + 10725^2 .

It is a cyclic number.

It is not a de Polignac number, because 20957145049 - 217 = 20957013977 is a prime.

It is not a weakly prime, because it can be changed into another prime (20957145019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10478572524 + 10478572525.

It is an arithmetic number, because the mean of its divisors is an integer number (10478572525).

Almost surely, 220957145049 is an apocalyptic number.

It is an amenable number.

20957145049 is a deficient number, since it is larger than the sum of its proper divisors (1).

20957145049 is an equidigital number, since it uses as much as digits as its factorization.

20957145049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 20957145049 in words is "twenty billion, nine hundred fifty-seven million, one hundred forty-five thousand, forty-nine".