| Base | Representation |
|---|---|
| bin | 10011100001100100… |
| … | …010011000011010000 |
| 3 | 2000010000221122120000 |
| 4 | 103201210103003100 |
| 5 | 320413322224000 |
| 6 | 13344132450000 |
| 7 | 1341341152500 |
| oct | 234144230320 |
| 9 | 60100848500 |
| 10 | 20964258000 |
| 11 | 8988860364 |
| 12 | 4090a79900 |
| 13 | 1c913ac3ba |
| 14 | 102c3aba00 |
| 15 | 82a73c000 |
| hex | 4e19130d0 |
20964258000 has 1200 divisors, whose sum is σ = 93390897600. Its totient is φ = 4506969600.
The previous prime is 20964257989. The next prime is 20964258023. The reversal of 20964258000 is 85246902.
It is a happy number.
20964258000 is a `hidden beast` number, since 2 + 0 + 9 + 642 + 5 + 8 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1200).
It is a super-2 number, since 2×209642580002 (a number of 21 digits) contains 22 as substring.
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 pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 150821931 + ... + 150822069.
It is an arithmetic number, because the mean of its divisors is an integer number (77825748).
Almost surely, 220964258000 is an apocalyptic number.
20964258000 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 20964258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46695448800).
20964258000 is an abundant number, since it is smaller than the sum of its proper divisors (72426639600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20964258000 is a wasteful number, since it uses less digits than its factorization.
20964258000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 207 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
It can be divided in two parts, 2096 and 4258000, that added together give a square (4260096 = 20642).
The spelling of 20964258000 in words is "twenty billion, nine hundred sixty-four million, two hundred fifty-eight thousand".
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