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8017020160040 = 235200425504001
BaseRepresentation
bin111010010101001101110…
…1000111000100000101000
31001101102022220211010011002
41310222123220320200220
52022322324130110130
625014545045054132
71455132142664123
oct164523350704050
931342286733132
108017020160040
112610aa9971401
12a959039b7348
13462003b25788
141da050cc93ba
15dd81b2c0b45
hex74a9ba38828

8017020160040 has 16 divisors (see below), whose sum is σ = 18038295360180. Its totient is φ = 3206808064000.

The previous prime is 8017020160033. The next prime is 8017020160117. The reversal of 8017020160040 is 400610207108.

It can be written as a sum of positive squares in 2 ways, for example, as 7552504305124 + 464515854916 = 2748182^2 + 681554^2 .

It is a super-2 number, since 2×80170201600402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8017020159985 and 8017020160012.

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 3 ways as a sum of consecutive naturals, for example, 100212751961 + ... + 100212752040.

Almost surely, 28017020160040 is an apocalyptic number.

It is an amenable number.

8017020160040 is an abundant number, since it is smaller than the sum of its proper divisors (10021275200140).

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

8017020160040 is a wasteful number, since it uses less digits than its factorization.

8017020160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200425504012 (or 200425504008 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 8017020160040 its reverse (400610207108), we get a palindrome (8417630367148).

The spelling of 8017020160040 in words is "eight trillion, seventeen billion, twenty million, one hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 200425504001 400851008002 801702016004 1002127520005 1603404032008 2004255040010 4008510080020 8017020160040