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2973947536057 is a prime number
BaseRepresentation
bin101011010001101101000…
…101100010001010111001
3101112022021111221222112011
4223101231011202022321
5342211121032123212
610154113532445521
7424601122652521
oct53215505421271
911468244858464
102973947536057
11a47275942a43
124004550198a1
1318759924a774
14a3d22c66681
155255c47a4a7
hex2b46d1622b9

2973947536057 has 2 divisors, whose sum is σ = 2973947536058. Its totient is φ = 2973947536056.

The previous prime is 2973947536003. The next prime is 2973947536081. The reversal of 2973947536057 is 7506357493792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2045231773456 + 928715762601 = 1430116^2 + 963699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2973947536057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2973947535983 and 2973947536001.

It is not a weakly prime, because it can be changed into another prime (2973947536657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486973768028 + 1486973768029.

It is an arithmetic number, because the mean of its divisors is an integer number (1486973768029).

Almost surely, 22973947536057 is an apocalyptic number.

It is an amenable number.

2973947536057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2973947536057 is an equidigital number, since it uses as much as digits as its factorization.

2973947536057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300056400, while the sum is 67.

The spelling of 2973947536057 in words is "two trillion, nine hundred seventy-three billion, nine hundred forty-seven million, five hundred thirty-six thousand, fifty-seven".