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2957416097 is a prime number
BaseRepresentation
bin1011000001000110…
…1001011010100001
321122002220022012112
42300101221122201
522024044303342
61205243405105
7133200423236
oct26021513241
97562808175
102957416097
111288425539
126a6523795
1338192486c
14200abd78d
15124981682
hexb04696a1

2957416097 has 2 divisors, whose sum is σ = 2957416098. Its totient is φ = 2957416096.

The previous prime is 2957416093. The next prime is 2957416127. The reversal of 2957416097 is 7906147592.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2393068561 + 564347536 = 48919^2 + 23756^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957416097 - 22 = 2957416093 is a prime.

It is not a weakly prime, because it can be changed into another prime (2957416093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478708048 + 1478708049.

It is an arithmetic number, because the mean of its divisors is an integer number (1478708049).

Almost surely, 22957416097 is an apocalyptic number.

It is an amenable number.

2957416097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957416097 is an equidigital number, since it uses as much as digits as its factorization.

2957416097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 952560, while the sum is 50.

The square root of 2957416097 is about 54382.1303095052. The cubic root of 2957416097 is about 1435.3929564413.

The spelling of 2957416097 in words is "two billion, nine hundred fifty-seven million, four hundred sixteen thousand, ninety-seven".