Base | Representation |
---|---|
bin | 11010111001111101… |
… | …010110000000100000 |
3 | 2202120101000021111100 |
4 | 122321331112000200 |
5 | 433131223412124 |
6 | 21134405514400 |
7 | 2041625066112 |
oct | 327175260040 |
9 | 82511007440 |
10 | 28889669664 |
11 | 11285513459 |
12 | 5723112a00 |
13 | 29553383bb |
14 | 1580bbb3b2 |
15 | b414021c9 |
hex | 6b9f56020 |
28889669664 has 72 divisors (see below), whose sum is σ = 82360202652. Its totient is φ = 9605836800.
The previous prime is 28889669663. The next prime is 28889669687. The reversal of 28889669664 is 46696698882.
It can be written as a sum of positive squares in 2 ways, for example, as 26403650064 + 2486019600 = 162492^2 + 49860^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×288896696642 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 28889669592 and 28889669601.
It is not an unprimeable number, because it can be changed into a prime (28889669663) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9589 + ... + 240564.
Almost surely, 228889669664 is an apocalyptic number.
28889669664 is a gapful number since it is divisible by the number (24) 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 28889669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41180101326).
28889669664 is an abundant number, since it is smaller than the sum of its proper divisors (53470532988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28889669664 is a wasteful number, since it uses less digits than its factorization.
28889669664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 250570 (or 250559 counting only the distinct ones).
The product of its digits is 429981696, while the sum is 72.
The spelling of 28889669664 in words is "twenty-eight billion, eight hundred eighty-nine million, six hundred sixty-nine thousand, six hundred sixty-four".
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