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6542052066 = 2321123781181
BaseRepresentation
bin1100001011110111…
…11100101011100010
3121212221000200022200
412011323330223202
5101344231131231
63001054514030
7321055345044
oct60573745342
917787020280
106542052066
1128578aa600
121326b05916
13803485734
14460bcda94
1528450abe6
hex185efcae2

6542052066 has 72 divisors (see below), whose sum is σ = 16001459292. Its totient is φ = 1928836800.

The previous prime is 6542052061. The next prime is 6542052073. The reversal of 6542052066 is 6602502456.

6542052066 is a `hidden beast` number, since 6 + 54 + 20 + 520 + 66 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5988438225 + 553613841 = 77385^2 + 23529^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6542052066.

It is not an unprimeable number, because it can be changed into a prime (6542052061) 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 35 ways as a sum of consecutive naturals, for example, 39996 + ... + 121176.

Almost surely, 26542052066 is an apocalyptic number.

6542052066 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 6542052066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000729646).

6542052066 is an abundant number, since it is smaller than the sum of its proper divisors (9459407226).

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

6542052066 is a wasteful number, since it uses less digits than its factorization.

6542052066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81248 (or 81234 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6542052066 is about 80882.9528763633. The cubic root of 6542052066 is about 1870.2715407294.

The spelling of 6542052066 in words is "six billion, five hundred forty-two million, fifty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 26862 40293 80586 81181 162362 243543 487086 730629 892991 1461258 1785982 2678973 3003697 5357946 6007394 8036919 9011091 9822901 16073838 18022182 19645802 27033273 29468703 33040667 54066546 58937406 66081334 88406109 99122001 176812218 198244002 297366003 363447337 594732006 726894674 1090342011 2180684022 3271026033 6542052066