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6612199056 = 2432294213761
BaseRepresentation
bin1100010100001111…
…00010011010010000
3122001211000111220100
412022013202122100
5102020210332211
63012042212400
7322566523161
oct61207423220
918054014810
106612199056
112893461021
1213464b4100
13814b76128
1446a24d768
1528a765156
hex18a1e2690

6612199056 has 120 divisors (see below), whose sum is σ = 19193648760. Its totient is φ = 2122444800.

The previous prime is 6612199051. The next prime is 6612199129. The reversal of 6612199056 is 6509912166.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 6609690000 = 1584^2 + 81300^2 .

It is a super-2 number, since 2×66121990562 = 87442352712334582272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6612199051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756216 + ... + 1759976.

It is an arithmetic number, because the mean of its divisors is an integer number (159947073).

Almost surely, 26612199056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6612199056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596824380).

6612199056 is an abundant number, since it is smaller than the sum of its proper divisors (12581449704).

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

6612199056 is a wasteful number, since it uses less digits than its factorization.

6612199056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 6612199056 is about 81315.4293845885. The cubic root of 6612199056 is about 1876.9324366963.

The spelling of 6612199056 in words is "six billion, six hundred twelve million, one hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 421 464 522 696 842 1044 1263 1392 1684 2088 2526 3368 3761 3789 4176 5052 6736 7522 7578 10104 11283 12209 15044 15156 20208 22566 24418 30088 30312 33849 36627 45132 48836 60176 60624 67698 73254 90264 97672 109069 109881 135396 146508 180528 195344 218138 219762 270792 293016 327207 436276 439524 541584 586032 654414 872552 879048 981621 1308828 1583381 1745104 1758096 1963242 2617656 3166762 3926484 4750143 5235312 6333524 7852968 9500286 12667048 14250429 15705936 19000572 25334096 28500858 38001144 45918049 57001716 76002288 91836098 114003432 137754147 183672196 228006864 275508294 367344392 413262441 551016588 734688784 826524882 1102033176 1653049764 2204066352 3306099528 6612199056