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5664405186 = 2321129532729
BaseRepresentation
bin1010100011001111…
…11111011011000010
3112121202120121010200
411101213333123002
543100041431221
62334023510030
7260240435556
oct52147773302
915552517120
105664405186
112447455500
121120bb8316
136c36b755b
143ba411866
15232447426
hex1519ff6c2

5664405186 has 72 divisors (see below), whose sum is σ = 13509126540. Its totient is φ = 1714056960.

The previous prime is 5664405169. The next prime is 5664405199. The reversal of 5664405186 is 6815044665.

5664405186 is a `hidden beast` number, since 5 + 6 + 64 + 405 + 186 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5304354561 + 360050625 = 72831^2 + 18975^2 .

It is a super-2 number, since 2×56644051862 = 64170972222367389192, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2074270 + ... + 2076998.

Almost surely, 25664405186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664405186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754563270).

5664405186 is an abundant number, since it is smaller than the sum of its proper divisors (7844721354).

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

5664405186 is a wasteful number, since it uses less digits than its factorization.

5664405186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5664405186 is about 75262.2427648818. The cubic root of 5664405186 is about 1782.5898824460.

The spelling of 5664405186 in words is "five billion, six hundred sixty-four million, four hundred five thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 953 1089 1906 2178 2729 2859 5458 5718 8187 8577 10483 16374 17154 20966 24561 30019 31449 49122 60038 62898 90057 94347 115313 180114 188694 230626 270171 330209 345939 540342 660418 691878 990627 1037817 1981254 2075634 2600737 2971881 5201474 5943762 7802211 15604422 23406633 28608107 46813266 57216214 85824321 171648642 257472963 314689177 514945926 629378354 944067531 1888135062 2832202593 5664405186