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12249293033 = 17315792
BaseRepresentation
bin10110110100001110…
…10110000011101001
31011121200012120002202
423122013112003221
5200041304334113
65343252505545
7612356162405
oct133207260351
934550176082
1012249293033
11521645217a
12245a31b2b5
1312029ba4b3
14842b92105
154ba5b5258
hex2da1d60e9

12249293033 has 12 divisors (see below), whose sum is σ = 13022965620. Its totient is φ = 11521445088.

The previous prime is 12249292949. The next prime is 12249293039. The reversal of 12249293033 is 33039294221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12249293033 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 2 ways, for example, as 6741723664 + 5507569369 = 82108^2 + 74213^2 .

It is not a de Polignac number, because 12249293033 - 28 = 12249292777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12249293039) 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 11 ways as a sum of consecutive naturals, for example, 7756838 + ... + 7758416.

It is an arithmetic number, because the mean of its divisors is an integer number (1085247135).

Almost surely, 212249293033 is an apocalyptic number.

It is an amenable number.

12249293033 is a deficient number, since it is larger than the sum of its proper divisors (773672587).

12249293033 is an frugal number, since it uses more digits than its factorization.

12249293033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 12249293033 in words is "twelve billion, two hundred forty-nine million, two hundred ninety-three thousand, thirty-three".

Divisors: 1 17 289 1579 4913 26843 456331 2493241 7757627 42385097 720546649 12249293033