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6122430342216 = 2332448118976513
BaseRepresentation
bin101100100010111110101…
…0010010010010001001000
3210200022001200211100011100
41121011331102102101020
51300302214131422331
621004334454101400
71201221350152326
oct131057522222110
923608050740140
106122430342216
111a50565353661
1282a69964a860
1335545bbc7786
14172481c12d16
15a93d24a9ae6
hex5917d492448

6122430342216 has 48 divisors (see below), whose sum is σ = 16585283470860. Its totient is φ = 2040354570240.

The previous prime is 6122430342211. The next prime is 6122430342229.

6122430342216 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 430 + 3 + 4 + 2 + 216 = 666.

6122430342216 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 5180385394116 + 942044948100 = 2276046^2 + 970590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6122430342211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9165625 + ... + 9810888.

Almost surely, 26122430342216 is an apocalyptic number.

It is an amenable number.

6122430342216 is an abundant number, since it is smaller than the sum of its proper divisors (10462853128644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6122430342216 is a wasteful number, since it uses less digits than its factorization.

6122430342216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18981006 (or 18980999 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 6122430 and 342216, that added together give a palindrome (6464646).

The spelling of 6122430342216 in words is "six trillion, one hundred twenty-two billion, four hundred thirty million, three hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4481 8962 13443 17924 26886 35848 40329 53772 80658 107544 161316 322632 18976513 37953026 56929539 75906052 113859078 151812104 170788617 227718156 341577234 455436312 683154468 1366308936 85033754753 170067509506 255101264259 340135019012 510202528518 680270038024 765303792777 1020405057036 1530607585554 2040810114072 3061215171108 6122430342216