Search a number
-
+
6204006006 = 2311313781953
BaseRepresentation
bin1011100011100100…
…11001111001110110
3121000100221011022020
411301302121321312
5100201211143011
62503341214010
7306512116032
oct56162317166
917010834266
106204006006
1126a3aaa5a0
121251861306
1377b426593
1442bd551c2
152649d4006
hex171c99e76

6204006006 has 64 divisors (see below), whose sum is σ = 14350473216. Its totient is φ = 1770163200.

The previous prime is 6204005999. The next prime is 6204006031. The reversal of 6204006006 is 6006004026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34726 + ... + 116678.

It is an arithmetic number, because the mean of its divisors is an integer number (224226144).

Almost surely, 26204006006 is an apocalyptic number.

6204006006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6204006006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175236608).

6204006006 is an abundant number, since it is smaller than the sum of its proper divisors (8146467210).

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

6204006006 is a wasteful number, since it uses less digits than its factorization.

6204006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82037.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6204006006 is about 78765.5127958931. The cubic root of 6204006006 is about 1837.4861312665.

The spelling of 6204006006 in words is "six billion, two hundred four million, six thousand, six".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 814 1023 1147 1221 2046 2294 2442 3441 6882 12617 25234 37851 75702 81953 163906 245859 491718 901483 1802966 2540543 2704449 3032261 5081086 5408898 6064522 7621629 9096783 15243258 18193566 27945973 33354871 55891946 66709742 83837919 94000091 100064613 167675838 188000182 200129226 282000273 564000546 1034001001 2068002002 3102003003 6204006006