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66584991906 = 23253544312823
BaseRepresentation
bin111110000000110001…
…100101100010100010
320100212102102001110100
4332000301211202202
52042331224220111
650331055243230
74545016043556
oct760061454242
9210772361410
1066584991906
1126269545a34
1210aa3219516
136381a985c4
14331925d866
151aea8e1756
hexf80c658a2

66584991906 has 48 divisors (see below), whose sum is σ = 147027980736. Its totient is φ = 21770525088.

The previous prime is 66584991901. The next prime is 66584991937. The reversal of 66584991906 is 60919948566.

66584991906 is a `hidden beast` number, since 6 + 6 + 58 + 499 + 1 + 90 + 6 = 666.

It is a super-2 number, since 2×665849919062 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66584991901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5186211 + ... + 5199033.

It is an arithmetic number, because the mean of its divisors is an integer number (3063082932).

Almost surely, 266584991906 is an apocalyptic number.

66584991906 is an abundant number, since it is smaller than the sum of its proper divisors (80442988830).

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

66584991906 is a wasteful number, since it uses less digits than its factorization.

66584991906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 66584991906 in words is "sixty-six billion, five hundred eighty-four million, nine hundred ninety-one thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 5443 10886 12823 16329 25646 32658 38469 48987 76938 97974 115407 230814 288479 576958 679619 865437 1359238 1730874 2038857 2596311 4077714 5192622 6116571 12233142 69795589 139591178 209386767 418773534 628160301 1256320602 3699166217 7398332434 11097498651 22194997302 33292495953 66584991906