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12338123641 = 29370959393
BaseRepresentation
bin10110111110110100…
…01101001101111001
31011211212100121210021
423133122031031321
5200232024424031
65400144450441
7614515214644
oct133732151571
934755317707
1012338123641
1152616049a8
122484019a21
13121822009c
148508b6a5b
154c32b0511
hex2df68d379

12338123641 has 8 divisors (see below), whose sum is σ = 12397903560. Its totient is φ = 12278464512.

The previous prime is 12338123617. The next prime is 12338123653. The reversal of 12338123641 is 14632183321.

It can be written as a sum of positive squares in 4 ways, for example, as 1127549241 + 11210574400 = 33579^2 + 105880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12338123641 - 219 = 12337599353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12338123597 and 12338123606.

It is not an unprimeable number, because it can be changed into a prime (12338124641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178041 + ... + 237433.

It is an arithmetic number, because the mean of its divisors is an integer number (1549737945).

Almost surely, 212338123641 is an apocalyptic number.

It is an amenable number.

12338123641 is a deficient number, since it is larger than the sum of its proper divisors (59779919).

12338123641 is an equidigital number, since it uses as much as digits as its factorization.

12338123641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60395.

The product of its digits is 20736, while the sum is 34.

The spelling of 12338123641 in words is "twelve billion, three hundred thirty-eight million, one hundred twenty-three thousand, six hundred forty-one".

Divisors: 1 293 709 59393 207737 17402149 42109637 12338123641