| Base | Representation |
|---|---|
| bin | 101000100110110100… |
| … | …1001010011010000000 |
| 3 | 22100002020220200010000 |
| 4 | 1101031221022122000 |
| 5 | 2412042201411310 |
| 6 | 104020545040000 |
| 7 | 6204642421623 |
| oct | 1211551123200 |
| 9 | 270066820100 |
| 10 | 87201982080 |
| 11 | 33a89277894 |
| 12 | 14a97926000 |
| 13 | 82b923a285 |
| 14 | 4313471dba |
| 15 | 24058d44c0 |
| hex | 144da4a680 |
87201982080 has 320 divisors, whose sum is σ = 313080007680. Its totient is φ = 23129487360.
The previous prime is 87201982079. The next prime is 87201982081. The reversal of 87201982080 is 8028910278.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (87201982079) and next prime (87201982081).
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×872019820802 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (87201982081) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9897037 + ... + 9905843.
It is an arithmetic number, because the mean of its divisors is an integer number (978375024).
Almost surely, 287201982080 is an apocalyptic number.
87201982080 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 87201982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156540003840).
87201982080 is an abundant number, since it is smaller than the sum of its proper divisors (225878025600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87201982080 is a wasteful number, since it uses less digits than its factorization.
87201982080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9029 (or 9008 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 45.
It can be divided in two parts, 8720198 and 2080, that added together give a palindrome (8722278).
The spelling of 87201982080 in words is "eighty-seven billion, two hundred one million, nine hundred eighty-two thousand, eighty".
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