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97145040761 is a prime number
BaseRepresentation
bin101101001111001001…
…0111010111101111001
3100021202012112101102122
41122132102322331321
53042423112301021
6112343335211025
710006226136116
oct1323622727571
9307665471378
1097145040761
113822092aa5a
12169b1816a75
1392121aba52
1449b7c1190d
1527d8795bab
hex169e4baf79

97145040761 has 2 divisors, whose sum is σ = 97145040762. Its totient is φ = 97145040760.

The previous prime is 97145040757. The next prime is 97145040823. The reversal of 97145040761 is 16704054179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55610600761 + 41534440000 = 235819^2 + 203800^2 .

It is a cyclic number.

It is not a de Polignac number, because 97145040761 - 22 = 97145040757 is a prime.

It is not a weakly prime, because it can be changed into another prime (97145040731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48572520380 + 48572520381.

It is an arithmetic number, because the mean of its divisors is an integer number (48572520381).

Almost surely, 297145040761 is an apocalyptic number.

It is an amenable number.

97145040761 is a deficient number, since it is larger than the sum of its proper divisors (1).

97145040761 is an equidigital number, since it uses as much as digits as its factorization.

97145040761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 97145040761 in words is "ninety-seven billion, one hundred forty-five million, forty thousand, seven hundred sixty-one".