Base | Representation |
---|---|
bin | 1001101101010010000100… |
… | …01100100010001111000000 |
3 | 2210120202120222002110100000 |
4 | 10312221002030202033000 |
5 | 10244222324044341303 |
6 | 113222415500200000 |
7 | 4332163663326051 |
oct | 466510214421700 |
9 | 83522528073300 |
10 | 21347098043328 |
11 | 6890287367282 |
12 | 2489263b39000 |
13 | bbb03ab73665 |
14 | 53b2c2972728 |
15 | 2704489c6da3 |
hex | 136a423223c0 |
21347098043328 has 336 divisors, whose sum is σ = 66385976057856. Its totient is φ = 6788506475520.
The previous prime is 21347098043321. The next prime is 21347098043347. The reversal of 21347098043328 is 82334089074312.
It is a happy number.
21347098043328 is a `hidden beast` number, since 2 + 1 + 34 + 70 + 98 + 0 + 433 + 28 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21347098043321) 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 47 ways as a sum of consecutive naturals, for example, 136919658 + ... + 137075478.
It is an arithmetic number, because the mean of its divisors is an integer number (197577309696).
Almost surely, 221347098043328 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 21347098043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33192988028928).
21347098043328 is an abundant number, since it is smaller than the sum of its proper divisors (45038878014528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21347098043328 is a wasteful number, since it uses less digits than its factorization.
21347098043328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 156254 (or 156232 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 21347098043328 in words is "twenty-one trillion, three hundred forty-seven billion, ninety-eight million, forty-three thousand, three hundred twenty-eight".
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