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8646680405 = 511374248983
BaseRepresentation
bin10000000110110000…
…11101111101010101
3211022121020212122102
420003120131331111
5120202022233110
63550000211445
7424162366526
oct100330357525
924277225572
108646680405
113737909a70
121813909b85
13a7a50414c
145c052284d
153591895a5
hex20361df55

8646680405 has 16 divisors (see below), whose sum is σ = 11625220224. Its totient is φ = 6118534080.

The previous prime is 8646680347. The next prime is 8646680407. The reversal of 8646680405 is 5040866468.

It is a happy number.

8646680405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8646680405 - 232 = 4351713109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8646680405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8646680407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122457 + ... + 2126526.

It is an arithmetic number, because the mean of its divisors is an integer number (726576264).

Almost surely, 28646680405 is an apocalyptic number.

It is an amenable number.

8646680405 is a deficient number, since it is larger than the sum of its proper divisors (2978539819).

8646680405 is a wasteful number, since it uses less digits than its factorization.

8646680405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249036.

The product of its (nonzero) digits is 1105920, while the sum is 47.

The square root of 8646680405 is about 92987.5282228751. The cubic root of 8646680405 is about 2052.4998577238.

The spelling of 8646680405 in words is "eight billion, six hundred forty-six million, six hundred eighty thousand, four hundred five".

Divisors: 1 5 11 37 55 185 407 2035 4248983 21244915 46738813 157212371 233694065 786061855 1729336081 8646680405