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2412914417 is a prime number
BaseRepresentation
bin1000111111010010…
…0010011011110001
320020011022202022122
42033310202123301
514420201230132
61035233044025
7113536301624
oct21764423361
96204282278
102412914417
111029033351
125740b6615
132c5b8ac14
1418c661dbb
15e1c77912
hex8fd226f1

2412914417 has 2 divisors, whose sum is σ = 2412914418. Its totient is φ = 2412914416.

The previous prime is 2412914407. The next prime is 2412914437. The reversal of 2412914417 is 7144192142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1280995681 + 1131918736 = 35791^2 + 33644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2412914417 - 24 = 2412914401 is a prime.

It is a super-3 number, since 3×24129144173 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2412914407) 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, 1206457208 + 1206457209.

It is an arithmetic number, because the mean of its divisors is an integer number (1206457209).

Almost surely, 22412914417 is an apocalyptic number.

It is an amenable number.

2412914417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2412914417 is an equidigital number, since it uses as much as digits as its factorization.

2412914417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 35.

The square root of 2412914417 is about 49121.4252338020. The cubic root of 2412914417 is about 1341.2630878283.

The spelling of 2412914417 in words is "two billion, four hundred twelve million, nine hundred fourteen thousand, four hundred seventeen".