Base | Representation |
---|---|
bin | 101001000111001000… |
… | …0011101110110001100 |
3 | 22102212210201212101100 |
4 | 1102032100131312030 |
5 | 2421302210332043 |
6 | 104320311543100 |
7 | 6243544564104 |
oct | 1221620356614 |
9 | 272783655340 |
10 | 88286027148 |
11 | 34495184a00 |
12 | 1513a98aa90 |
13 | 842c9c2a67 |
14 | 43b741a204 |
15 | 246ab67cd3 |
hex | 148e41dd8c |
88286027148 has 108 divisors (see below), whose sum is σ = 245564157384. Its totient is φ = 26724508800.
The previous prime is 88286027147. The next prime is 88286027149. The reversal of 88286027148 is 84172068288.
88286027148 is a `hidden beast` number, since 8 + 8 + 28 + 602 + 7 + 1 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (88286027147) and next prime (88286027149).
It is a junction number, because it is equal to n+sod(n) for n = 88286027094 and 88286027103.
It is not an unprimeable number, because it can be changed into a prime (88286027147) 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 35 ways as a sum of consecutive naturals, for example, 4219240 + ... + 4240112.
It is an arithmetic number, because the mean of its divisors is an integer number (2273742198).
Almost surely, 288286027148 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 88286027148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122782078692).
88286027148 is an abundant number, since it is smaller than the sum of its proper divisors (157278130236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88286027148 is a wasteful number, since it uses less digits than its factorization.
88286027148 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21876 (or 21860 counting only the distinct ones).
The product of its (nonzero) digits is 2752512, while the sum is 54.
The spelling of 88286027148 in words is "eighty-eight billion, two hundred eighty-six million, twenty-seven thousand, one hundred forty-eight".
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