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12830856367849 = 13412836970157
BaseRepresentation
bin1011101010110110101010…
…1000101100111011101001
31200102121200102220201222221
42322231222220230323221
53140210043212232344
643142225233314041
72462666403425452
oct272555250547351
950377612821887
1012830856367849
1140a7598a13453
121532857a05921
13720c3828bb90
14325033dcc129
15173b600ea184
hexbab6aa2cee9

12830856367849 has 24 divisors (see below), whose sum is σ = 14164980180120. Its totient is φ = 11553447229440.

The previous prime is 12830856367831. The next prime is 12830856367871. The reversal of 12830856367849 is 94876365803821.

It can be written as a sum of positive squares in 12 ways, for example, as 11375563981824 + 1455292386025 = 3372768^2 + 1206355^2 .

It is not a de Polignac number, because 12830856367849 - 227 = 12830722150121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12830856367829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182852679 + ... + 182922835.

It is an arithmetic number, because the mean of its divisors is an integer number (590207507505).

It is a 1-persistent number, because it is pandigital, but 2⋅12830856367849 = 25661712735698 is not.

Almost surely, 212830856367849 is an apocalyptic number.

It is an amenable number.

12830856367849 is a deficient number, since it is larger than the sum of its proper divisors (1334123812271).

12830856367849 is an equidigital number, since it uses as much as digits as its factorization.

12830856367849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78621 (or 78580 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 12830856367849 in words is "twelve trillion, eight hundred thirty billion, eight hundred fifty-six million, three hundred sixty-seven thousand, eight hundred forty-nine".

Divisors: 1 13 41 533 1681 8369 21853 70157 108797 343129 912041 2876437 4460677 14068289 37393681 117933917 182887757 587143933 1533140921 7632871129 24072901253 312947716289 986988951373 12830856367849