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24400424249 is a prime number
BaseRepresentation
bin10110101110011000…
…001110110100111001
32022222111200222111122
4112232120032310321
5344433002033444
615113121435025
71522444120055
oct265630166471
968874628448
1024400424249
11a391448983
12488b79ba75
1323bb258a76
1412768b0c65
1597c23a4ee
hex5ae60ed39

24400424249 has 2 divisors, whose sum is σ = 24400424250. Its totient is φ = 24400424248.

The previous prime is 24400424197. The next prime is 24400424281. The reversal of 24400424249 is 94242400442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22829094649 + 1571329600 = 151093^2 + 39640^2 .

It is a cyclic number.

It is not a de Polignac number, because 24400424249 - 224 = 24383647033 is a prime.

It is not a weakly prime, because it can be changed into another prime (24400420249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12200212124 + 12200212125.

It is an arithmetic number, because the mean of its divisors is an integer number (12200212125).

Almost surely, 224400424249 is an apocalyptic number.

It is an amenable number.

24400424249 is a deficient number, since it is larger than the sum of its proper divisors (1).

24400424249 is an equidigital number, since it uses as much as digits as its factorization.

24400424249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 24400424249 in words is "twenty-four billion, four hundred million, four hundred twenty-four thousand, two hundred forty-nine".