| Base | Representation |
|---|---|
| bin | 1011101001111100101001000… |
| … | …0000011011000111100110000 |
| 3 | 10222120000020200100010000112000 |
| 4 | 2322133022100003120330300 |
| 5 | 1330000243431131231410 |
| 6 | 12024212315354334000 |
| 7 | 334520621322265260 |
| oct | 27237122003307460 |
| 9 | 3876006610100460 |
| 10 | 820177961586480 |
| 11 | 21837457a358232 |
| 12 | 77ba3b97a2a300 |
| 13 | 292855b05ba013 |
| 14 | 10676b7a2d17a0 |
| 15 | 64c4a9e89bdc0 |
| hex | 2e9f2900d8f30 |
820177961586480 has 640 divisors, whose sum is σ = 3240126107228160. Its totient is φ = 186803124203520.
The previous prime is 820177961586479. The next prime is 820177961586517. The reversal of 820177961586480 is 84685169771028.
It is a happy number.
820177961586480 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 7 + 7 + 9 + 61 + 5 + 86 + 480 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 820177961586399 and 820177961586408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5828493082 + ... + 5828633798.
It is an arithmetic number, because the mean of its divisors is an integer number (5062697042544).
Almost surely, 2820177961586480 is an apocalyptic number.
820177961586480 is a gapful number since it is divisible by the number (80) 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 820177961586480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620063053614080).
820177961586480 is an abundant number, since it is smaller than the sum of its proper divisors (2419948145641680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
820177961586480 is a wasteful number, since it uses less digits than its factorization.
820177961586480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142114 (or 142102 counting only the distinct ones).
The product of its (nonzero) digits is 325140480, while the sum is 72.
The spelling of 820177961586480 in words is "eight hundred twenty trillion, one hundred seventy-seven billion, nine hundred sixty-one million, five hundred eighty-six thousand, four hundred eighty".
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