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12424453353 = 341373316097
BaseRepresentation
bin10111001001000111…
…00001110011101001
31012001212210121220000
423210203201303221
5200421130001403
65412511053213
7616614053034
oct134443416351
935055717800
1012424453353
1152a6309774
1224a8b11209
131230088560
1485c14a01b
154cab647a3
hex2e48e1ce9

12424453353 has 40 divisors (see below), whose sum is σ = 20016188808. Its totient is φ = 7634912256.

The previous prime is 12424453333. The next prime is 12424453367. The reversal of 12424453353 is 35335442421.

12424453353 is a `hidden beast` number, since 12 + 4 + 244 + 53 + 353 = 666.

12424453353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3446511849 + 8977941504 = 58707^2 + 94752^2 .

It is not a de Polignac number, because 12424453353 - 29 = 12424452841 is a prime.

It is a super-2 number, since 2×124244533532 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12424453313) 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 in 39 ways as a sum of consecutive naturals, for example, 763801 + ... + 779897.

Almost surely, 212424453353 is an apocalyptic number.

12424453353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12424453353 is a deficient number, since it is larger than the sum of its proper divisors (7591735455).

12424453353 is a wasteful number, since it uses less digits than its factorization.

12424453353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16846 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 12424453353 its reverse (35335442421), we get a palindrome (47759895774).

The spelling of 12424453353 in words is "twelve billion, four hundred twenty-four million, four hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 13 27 39 81 117 351 733 1053 2199 6597 9529 16097 19791 28587 48291 59373 85761 144873 209261 257283 434619 627783 771849 1303857 1883349 5650047 11799101 16950141 35397303 106191909 153388313 318575727 460164939 955727181 1380494817 4141484451 12424453353