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2417141681 is a prime number
BaseRepresentation
bin1001000000010010…
…1010011110110001
320020110021112000222
42100010222132301
514422242013211
61035503422425
7113620236203
oct22004523661
96213245028
102417141681
111030460359
125755b4a15
132c6a0b066
1418d042773
15e23101db
hex9012a7b1

2417141681 has 2 divisors, whose sum is σ = 2417141682. Its totient is φ = 2417141680.

The previous prime is 2417141669. The next prime is 2417141693. The reversal of 2417141681 is 1861417142.

It is a balanced prime because it is at equal distance from previous prime (2417141669) and next prime (2417141693).

It can be written as a sum of positive squares in only one way, i.e., 1209926656 + 1207215025 = 34784^2 + 34745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2417141681 is a prime.

It is a super-2 number, since 2×24171416812 = 11685147812055011522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2417141621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1208570840 + 1208570841.

It is an arithmetic number, because the mean of its divisors is an integer number (1208570841).

Almost surely, 22417141681 is an apocalyptic number.

It is an amenable number.

2417141681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2417141681 is an equidigital number, since it uses as much as digits as its factorization.

2417141681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10752, while the sum is 35.

The square root of 2417141681 is about 49164.4351233694. The cubic root of 2417141681 is about 1342.0458984778.

The spelling of 2417141681 in words is "two billion, four hundred seventeen million, one hundred forty-one thousand, six hundred eighty-one".