Base | Representation |
---|---|
bin | 110001000110110101000111… |
… | …100111001010011001000000 |
3 | 1001022200212200202020000100000 |
4 | 301012311013213022121000 |
5 | 211302002444233142442 |
6 | 2043200530010200000 |
7 | 63330402635404410 |
oct | 6106650747123100 |
9 | 1038625622200300 |
10 | 215973631927872 |
11 | 628a79a2890975 |
12 | 20281178423000 |
13 | 93682c2990840 |
14 | 3b492729d8640 |
15 | 19e7e8310cd4c |
hex | c46d479ca640 |
215973631927872 has 1344 divisors, whose sum is σ = 817070518304768. Its totient is φ = 55024220160000.
The previous prime is 215973631927853. The next prime is 215973631927891. The reversal of 215973631927872 is 278729136379512.
215973631927872 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 7 + 36 + 319 + 278 + 7 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (215973631927853) and next prime (215973631927891).
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 215973631927872.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26367183297 + ... + 26367191487.
Almost surely, 2215973631927872 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 215973631927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408535259152384).
215973631927872 is an abundant number, since it is smaller than the sum of its proper divisors (601096886376896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
215973631927872 is a wasteful number, since it uses less digits than its factorization.
215973631927872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8870 (or 8848 counting only the distinct ones).
The product of its digits is 480090240, while the sum is 72.
The spelling of 215973631927872 in words is "two hundred fifteen trillion, nine hundred seventy-three billion, six hundred thirty-one million, nine hundred twenty-seven thousand, eight hundred seventy-two".
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