Base | Representation |
---|---|
bin | 10010101111100000… |
… | …011111000000000000 |
3 | 1220221111121022122002 |
4 | 102233200133000000 |
5 | 312203321210233 |
6 | 13124531403132 |
7 | 1311462362012 |
oct | 225740370000 |
9 | 56844538562 |
10 | 20124397568 |
11 | 8597774830 |
12 | 3a977534a8 |
13 | 1b893b1372 |
14 | d8ca281b2 |
15 | 7cbb3e6e8 |
hex | 4af81f000 |
20124397568 has 104 divisors (see below), whose sum is σ = 44072166960. Its totient is φ = 9112125440.
The previous prime is 20124397541. The next prime is 20124397571. The reversal of 20124397568 is 86579342102.
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 7 ways as a sum of consecutive naturals, for example, 14282048 + ... + 14283456.
It is a 2-persistent number, because it is pandigital, and so is 2⋅20124397568 = 40248795136, but 3⋅20124397568 = 60373192704 is not.
Almost surely, 220124397568 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 20124397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036083480).
20124397568 is an abundant number, since it is smaller than the sum of its proper divisors (23947769392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20124397568 is a wasteful number, since it uses less digits than its factorization.
20124397568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1761 (or 1739 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 47.
The spelling of 20124397568 in words is "twenty billion, one hundred twenty-four million, three hundred ninety-seven thousand, five hundred sixty-eight".
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