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4200093409 is a prime number
BaseRepresentation
bin1111101001011000…
…0101011011100001
3101211201012212000011
43322112011123201
532100210442114
61532434324521
7206040130201
oct37226053341
911751185004
104200093409
111865930386
12992729741
1351c20c395
142bbb5c401
15198aec1c4
hexfa5856e1

4200093409 has 2 divisors, whose sum is σ = 4200093410. Its totient is φ = 4200093408.

The previous prime is 4200093407. The next prime is 4200093419. The reversal of 4200093409 is 9043900024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2301312784 + 1898780625 = 47972^2 + 43575^2 .

It is a cyclic number.

It is not a de Polignac number, because 4200093409 - 21 = 4200093407 is a prime.

Together with 4200093407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4200093407) 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, 2100046704 + 2100046705.

It is an arithmetic number, because the mean of its divisors is an integer number (2100046705).

Almost surely, 24200093409 is an apocalyptic number.

It is an amenable number.

4200093409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200093409 is an equidigital number, since it uses as much as digits as its factorization.

4200093409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4200093409 is about 64808.1276461525. The cubic root of 4200093409 is about 1613.4406069483.

The spelling of 4200093409 in words is "four billion, two hundred million, ninety-three thousand, four hundred nine".