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291116329657 is a prime number
BaseRepresentation
bin1000011110001111110…
…00101010101010111001
31000211102101201211000121
410033013320222222321
514232201240022112
6341423105133241
730014063654656
oct4170770525271
91024371654017
10291116329657
1110250964028a
124850632a221
13215b54bba3a
141013936cc2d
15788c810407
hex43c7e2aab9

291116329657 has 2 divisors, whose sum is σ = 291116329658. Its totient is φ = 291116329656.

The previous prime is 291116329591. The next prime is 291116329727. The reversal of 291116329657 is 756923611192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207187922041 + 83928407616 = 455179^2 + 289704^2 .

It is a cyclic number.

It is not a de Polignac number, because 291116329657 - 27 = 291116329529 is a prime.

It is a super-3 number, since 3×2911163296573 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (291116320657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145558164828 + 145558164829.

It is an arithmetic number, because the mean of its divisors is an integer number (145558164829).

Almost surely, 2291116329657 is an apocalyptic number.

It is an amenable number.

291116329657 is a deficient number, since it is larger than the sum of its proper divisors (1).

291116329657 is an equidigital number, since it uses as much as digits as its factorization.

291116329657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1224720, while the sum is 52.

The spelling of 291116329657 in words is "two hundred ninety-one billion, one hundred sixteen million, three hundred twenty-nine thousand, six hundred fifty-seven".