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8918006960 = 245111475087
BaseRepresentation
bin10000100111000110…
…11111110010110000
3212000111210200201002
420103203133302300
5121231002210320
64032531501132
7433665544202
oct102343376260
925014720632
108918006960
113866a89695
12188a7577a8
13ac17a29c5
14608590772
15372dd2675
hex2138dfcb0

8918006960 has 20 divisors (see below), whose sum is σ = 20734366368. Its totient is φ = 3567202752.

The previous prime is 8918006957. The next prime is 8918006969. The reversal of 8918006960 is 696008198.

8918006960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8918006969) 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 3 ways as a sum of consecutive naturals, for example, 55737464 + ... + 55737623.

Almost surely, 28918006960 is an apocalyptic number.

8918006960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8918006960 is an abundant number, since it is smaller than the sum of its proper divisors (11816359408).

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

8918006960 is a wasteful number, since it uses less digits than its factorization.

8918006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111475100 (or 111475094 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 8918006960 is about 94435.1997932974. The cubic root of 8918006960 is about 2073.7477873662.

The spelling of 8918006960 in words is "eight billion, nine hundred eighteen million, six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 111475087 222950174 445900348 557375435 891800696 1114750870 1783601392 2229501740 4459003480 8918006960