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7666366005 = 325170363689
BaseRepresentation
bin1110010001111001…
…10111011000110101
3201210021121202002200
413020330313120311
5111200042203010
63304420455113
7360660015204
oct71074673065
921707552080
107666366005
113284511281
12159b54a499
1395239a25c
1452a25b23b
152ed095cc0
hex1c8f37635

7666366005 has 12 divisors (see below), whose sum is σ = 13288367820. Its totient is φ = 4088728512.

The previous prime is 7666365989. The next prime is 7666366007. The reversal of 7666366005 is 5006636667.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5598481329 + 2067884676 = 74823^2 + 45474^2 .

It is not a de Polignac number, because 7666366005 - 24 = 7666365989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 170363689 = 7666366005 / (7 + 6 + 6 + 6 + 3 + 6 + 6 + 0 + 0 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666366007) 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 11 ways as a sum of consecutive naturals, for example, 85181800 + ... + 85181889.

It is an arithmetic number, because the mean of its divisors is an integer number (1107363985).

Almost surely, 27666366005 is an apocalyptic number.

It is an amenable number.

7666366005 is a deficient number, since it is larger than the sum of its proper divisors (5622001815).

7666366005 is a wasteful number, since it uses less digits than its factorization.

7666366005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170363700 (or 170363697 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 7666366005 is about 87557.7866611531. The cubic root of 7666366005 is about 1971.8014566852.

It can be divided in two parts, 766636 and 6005, that added together give a square (772641 = 8792).

The spelling of 7666366005 in words is "seven billion, six hundred sixty-six million, three hundred sixty-six thousand, five".

Divisors: 1 3 5 9 15 45 170363689 511091067 851818445 1533273201 2555455335 7666366005