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40946465610217 is a prime number
BaseRepresentation
bin10010100111101100101111…
…00010011001100111101001
312100222102222120221122212101
421103312113202121213221
520331331330144011332
6223030314023013401
711424166406016436
oct1123662742314751
9170872876848771
1040946465610217
1112057331401622
12471384859a261
1319b03097a5b8b
14a17b68a40b8d
154b01a168bae7
hex253d978999e9

40946465610217 has 2 divisors, whose sum is σ = 40946465610218. Its totient is φ = 40946465610216.

The previous prime is 40946465610181. The next prime is 40946465610283. The reversal of 40946465610217 is 71201656464904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40833365229801 + 113100380416 = 6390099^2 + 336304^2 .

It is a cyclic number.

It is not a de Polignac number, because 40946465610217 - 223 = 40946457221609 is a prime.

It is a super-2 number, since 2×409464656102172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40946465610517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20473232805108 + 20473232805109.

It is an arithmetic number, because the mean of its divisors is an integer number (20473232805109).

Almost surely, 240946465610217 is an apocalyptic number.

It is an amenable number.

40946465610217 is a deficient number, since it is larger than the sum of its proper divisors (1).

40946465610217 is an equidigital number, since it uses as much as digits as its factorization.

40946465610217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 40946465610217 in words is "forty trillion, nine hundred forty-six billion, four hundred sixty-five million, six hundred ten thousand, two hundred seventeen".