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2246603644657 is a prime number
BaseRepresentation
bin100000101100010100000…
…000110001111011110001
321221202212200002222102201
4200230110000301323301
5243302021013112112
64440024144543201
7321211634620141
oct40542400617361
97852780088381
102246603644657
11796863208a99
123034a7021b01
13133b13aa5338
147aa441a2921
153d68ca5e257
hex20b14031ef1

2246603644657 has 2 divisors, whose sum is σ = 2246603644658. Its totient is φ = 2246603644656.

The previous prime is 2246603644619. The next prime is 2246603644667. The reversal of 2246603644657 is 7564463066422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1902258842176 + 344344802481 = 1379224^2 + 586809^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246603644657 - 211 = 2246603642609 is a prime.

It is a super-2 number, since 2×22466036446572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2246603644598 and 2246603644607.

It is not a weakly prime, because it can be changed into another prime (2246603644667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123301822328 + 1123301822329.

It is an arithmetic number, because the mean of its divisors is an integer number (1123301822329).

Almost surely, 22246603644657 is an apocalyptic number.

It is an amenable number.

2246603644657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246603644657 is an equidigital number, since it uses as much as digits as its factorization.

2246603644657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34836480, while the sum is 55.

The spelling of 2246603644657 in words is "two trillion, two hundred forty-six billion, six hundred three million, six hundred forty-four thousand, six hundred fifty-seven".