Base | Representation |
---|---|
bin | 10101100010100010… |
… | …011000001101000000 |
3 | 2012200211102221002100 |
4 | 111202202120031000 |
5 | 334331233000210 |
6 | 14342545350400 |
7 | 1446063614100 |
oct | 254242301500 |
9 | 65624387070 |
10 | 23128015680 |
11 | 9899186550 |
12 | 4595638400 |
13 | 22477616a3 |
14 | 11958d3200 |
15 | 90569a5c0 |
hex | 562898340 |
23128015680 has 1008 divisors, whose sum is σ = 103424345856. Its totient is φ = 4688732160.
The previous prime is 23128015679. The next prime is 23128015693. The reversal of 23128015680 is 8651082132.
It is a happy number.
23128015680 is a `hidden beast` number, since 2 + 3 + 12 + 80 + 1 + 568 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72958882 + ... + 72959198.
Almost surely, 223128015680 is an apocalyptic number.
23128015680 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 23128015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51712172928).
23128015680 is an abundant number, since it is smaller than the sum of its proper divisors (80296330176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23128015680 is a wasteful number, since it uses less digits than its factorization.
23128015680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 412 (or 392 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 23128015680 in words is "twenty-three billion, one hundred twenty-eight million, fifteen thousand, six hundred eighty".
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