Search a number
-
+
6058997019009 = 3211467812
BaseRepresentation
bin101100000101011100001…
…0111010111000110000001
3210110020022220211122101100
41120022320113113012001
51243232311214102014
620515244221525013
71163514410621064
oct130127027270601
923406286748340
106058997019009
111a26673950000
1281a335a13769
1334c490077cbc
1416d38539a8db
15a791d61b009
hex582b85d7181

6058997019009 has 45 divisors (see below), whose sum is σ = 9628433178195. Its totient is φ = 3671577874800.

The previous prime is 6058997018983. The next prime is 6058997019037. The reversal of 6058997019009 is 9009107998506.

The square root of 6058997019009 is 2461503.

It is a perfect power (a square), and thus also a powerful number.

6058997019009 is a `hidden beast` number, since 605 + 8 + 9 + 9 + 7 + 0 + 19 + 0 + 0 + 9 = 666.

6058997019009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2631685329009 + 3427311690000 = 1622247^2 + 1851300^2 .

It is not a de Polignac number, because 6058997019009 - 27 = 6058997018881 is a prime.

It is a super-2 number, since 2×60589970190092 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6058997019109) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 893522199 + ... + 893528979.

Almost surely, 26058997019009 is an apocalyptic number.

6058997019009 is the 2461503-rd square number.

6058997019009 is the 1230752-nd centered octagonal number.

It is an amenable number.

6058997019009 is a deficient number, since it is larger than the sum of its proper divisors (3569436159186).

6058997019009 is an frugal number, since it uses more digits than its factorization.

6058997019009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 6058997019009 in words is "six trillion, fifty-eight billion, nine hundred ninety-seven million, nineteen thousand, nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 6781 11979 14641 20343 43923 61029 74591 131769 223773 671319 820501 2461503 7384509 9025511 27076533 45981961 81229599 99280621 137945883 297841863 413837649 505801571 893525589 1517404713 4552214139 5563817281 16691451843 50074355529 61201990091 183605970273 550817910819 673221891001 2019665673003 6058997019009