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20081160000 = 263254112461
BaseRepresentation
bin10010101100111011…
…100010111101000000
31220211111020121211200
4102230323202331000
5312111234110000
613120344541200
71310426020656
oct225473427500
956744217750
1020081160000
118575322800
123a85181800
131b80452cc5
14d86db0dd6
157c7e4d500
hex4acee2f40

20081160000 has 630 divisors, whose sum is σ = 79230377226. Its totient is φ = 4857600000.

The previous prime is 20081159993. The next prime is 20081160007. The reversal of 20081160000 is 6118002.

It is an interprime number because it is at equal distance from previous prime (20081159993) and next prime (20081160007).

It can be written as a sum of positive squares in 5 ways, for example, as 9696734784 + 10384425216 = 98472^2 + 101904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20081160007) 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 89 ways as a sum of consecutive naturals, for example, 43559770 + ... + 43560230.

Almost surely, 220081160000 is an apocalyptic number.

20081160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20081160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615188613).

20081160000 is an abundant number, since it is smaller than the sum of its proper divisors (59149217226).

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

20081160000 is a wasteful number, since it uses less digits than its factorization.

20081160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20081160000 its reverse (6118002), we get a palindrome (20087278002).

It can be divided in two parts, 20081 and 160000, that added together give a palindrome (180081).

The spelling of 20081160000 in words is "twenty billion, eighty-one million, one hundred sixty thousand".