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8020202112 = 273213975521
BaseRepresentation
bin1110111100000101…
…01001001010000000
3202200221102110222200
413132002221022000
5112411132431422
63403500433200
7402514410306
oct73602511200
922627373880
108020202112
11344621660a
121679b48800
139aa797530
14561246276
1531e18b2ac
hex1de0a9280

8020202112 has 192 divisors, whose sum is σ = 25115049960. Its totient is φ = 2441871360.

The previous prime is 8020202101. The next prime is 8020202161. The reversal of 8020202112 is 2112020208.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4480428096 + 3539774016 = 66936^2 + 59496^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449912 + ... + 1455432.

Almost surely, 28020202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557524980).

8020202112 is an abundant number, since it is smaller than the sum of its proper divisors (17094847848).

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

8020202112 is a wasteful number, since it uses less digits than its factorization.

8020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8020202112 is about 89555.5811326128. The cubic root of 8020202112 is about 2001.6820942162.

The spelling of 8020202112 in words is "eight billion, twenty million, two hundred two thousand, one hundred twelve".