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12338349537 = 31812125539
BaseRepresentation
bin10110111110110110…
…00100010111100001
31011211212210002122210
423133123010113201
5200232104141122
65400153352333
7614520145353
oct133733042741
934755702583
1012338349537
115261749698
1224841086a9
13121829bb57
148509350d3
154c330740c
hex2df6c45e1

12338349537 has 12 divisors (see below), whose sum is σ = 16542656880. Its totient is φ = 8180056080.

The previous prime is 12338349509. The next prime is 12338349553. The reversal of 12338349537 is 73594383321.

It is not a de Polignac number, because 12338349537 - 218 = 12338087393 is a prime.

It is a super-2 number, since 2×123383495372 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12338349937) 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 in 11 ways as a sum of consecutive naturals, for example, 35514 + ... + 161052.

It is an arithmetic number, because the mean of its divisors is an integer number (1378554740).

Almost surely, 212338349537 is an apocalyptic number.

It is an amenable number.

12338349537 is a deficient number, since it is larger than the sum of its proper divisors (4204307343).

12338349537 is an equidigital number, since it uses as much as digits as its factorization.

12338349537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125904 (or 125723 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 12338349537 in words is "twelve billion, three hundred thirty-eight million, three hundred forty-nine thousand, five hundred thirty-seven".

Divisors: 1 3 181 543 32761 98283 125539 376617 22722559 68167677 4112783179 12338349537