Search a number
-
+
6664104400 = 245226363347
BaseRepresentation
bin1100011010011011…
…00010100111010000
3122012102200120122111
412031031202213100
5102122002320100
63021134515104
7324066644542
oct61515424720
918172616574
106664104400
11290a7932a8
12135b965a94
1382284a855
144730c1692
152900b96ba
hex18d3629d0

6664104400 has 60 divisors (see below), whose sum is σ = 16071640992. Its totient is φ = 2655464320.

The previous prime is 6664104367. The next prime is 6664104413. The reversal of 6664104400 is 44014666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73527 + ... + 136873.

Almost surely, 26664104400 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 6664104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035820496).

6664104400 is an abundant number, since it is smaller than the sum of its proper divisors (9407536592).

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

6664104400 is a wasteful number, since it uses less digits than its factorization.

6664104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63628 (or 63617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6664104400 is about 81633.9659700544. The cubic root of 6664104400 is about 1881.8309083401.

The spelling of 6664104400 in words is "six billion, six hundred sixty-four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 400 526 1052 1315 2104 2630 4208 5260 6575 10520 13150 21040 26300 52600 63347 105200 126694 253388 316735 506776 633470 1013552 1266940 1583675 2533880 3167350 5067760 6334700 12669400 16660261 25338800 33320522 66641044 83301305 133282088 166602610 266564176 333205220 416506525 666410440 833013050 1332820880 1666026100 3332052200 6664104400