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40759122017 is a prime number
BaseRepresentation
bin100101111101011011…
…101101100001100001
310220012120110221010202
4211331123231201201
51131433313401032
630420253234545
72642022551345
oct457533554141
9126176427122
1040759122017
1116316509709
127a96192a55
133ac74220a3
141d89335625
1510d8486d62
hex97d6ed861

40759122017 has 2 divisors, whose sum is σ = 40759122018. Its totient is φ = 40759122016.

The previous prime is 40759121941. The next prime is 40759122029. The reversal of 40759122017 is 71022195704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21262305856 + 19496816161 = 145816^2 + 139631^2 .

It is a cyclic number.

It is not a de Polignac number, because 40759122017 - 232 = 36464154721 is a prime.

It is a super-2 number, since 2×407591220172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40759122097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20379561008 + 20379561009.

It is an arithmetic number, because the mean of its divisors is an integer number (20379561009).

Almost surely, 240759122017 is an apocalyptic number.

It is an amenable number.

40759122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

40759122017 is an equidigital number, since it uses as much as digits as its factorization.

40759122017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 40759122017 in words is "forty billion, seven hundred fifty-nine million, one hundred twenty-two thousand, seventeen".