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8681998080 = 283571731867
BaseRepresentation
bin10000001010111110…
…01100011100000000
3211102001201012101110
420011133030130000
5120240042414310
63553301203320
7425101523520
oct100537143400
924361635343
108681998080
113755841728
121823700540
13a8491b692
145c50b7680
1535c313d20
hex2057cc700

8681998080 has 288 divisors, whose sum is σ = 31889539584. Its totient is φ = 1971929088.

The previous prime is 8681998067. The next prime is 8681998093. The reversal of 8681998080 is 808991868.

It is an interprime number because it is at equal distance from previous prime (8681998067) and next prime (8681998093).

It is a super-2 number, since 2×86819980802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8681998080.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4649307 + ... + 4651173.

It is an arithmetic number, because the mean of its divisors is an integer number (110727568).

Almost surely, 28681998080 is an apocalyptic number.

8681998080 is a gapful number since it is divisible by the number (80) 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 8681998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944769792).

8681998080 is an abundant number, since it is smaller than the sum of its proper divisors (23207541504).

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

8681998080 is a wasteful number, since it uses less digits than its factorization.

8681998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The square root of 8681998080 is about 93177.2401394246. The cubic root of 8681998080 is about 2055.2905645817.

The spelling of 8681998080 in words is "eight billion, six hundred eighty-one million, nine hundred ninety-eight thousand, eighty".