Base | Representation |
---|---|
bin | 10010001100100010100010… |
… | …101000100001000000000000 |
3 | 101111100110112111122121122100 |
4 | 102030202202220201000000 |
5 | 40442123343123021432 |
6 | 442111405504110400 |
7 | 22566504511365243 |
oct | 2214424250410000 |
9 | 344313474577570 |
10 | 80026559188992 |
11 | 23554089412a09 |
12 | 8b85824905400 |
13 | 358661a412770 |
14 | 15a944004b25a |
15 | 93ba1b44807c |
hex | 48c8a2a21000 |
80026559188992 has 312 divisors, whose sum is σ = 263584747894104. Its totient is φ = 23175109804032.
The previous prime is 80026559188949. The next prime is 80026559188993. The reversal of 80026559188992 is 29988195562008.
80026559188992 is a `hidden beast` number, since 8 + 0 + 0 + 26 + 5 + 591 + 8 + 8 + 9 + 9 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 6161197694976 + 73865361494016 = 2482176^2 + 8594496^2 .
It is a tau number, because it is divible by the number of its divisors (312).
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 80026559188992.
It is not an unprimeable number, because it can be changed into a prime (80026559188993) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3235498 + ... + 13058390.
It is an arithmetic number, because the mean of its divisors is an integer number (844822909917).
Almost surely, 280026559188992 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 80026559188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131792373947052).
80026559188992 is an abundant number, since it is smaller than the sum of its proper divisors (183558188705112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
80026559188992 is a wasteful number, since it uses less digits than its factorization.
80026559188992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9822953 (or 9822928 counting only the distinct ones).
The product of its (nonzero) digits is 223948800, while the sum is 72.
The spelling of 80026559188992 in words is "eighty trillion, twenty-six billion, five hundred fifty-nine million, one hundred eighty-eight thousand, nine hundred ninety-two".
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