| Base | Representation |
|---|---|
| bin | 11000001010100101110000… |
| … | …000000010100100100100000 |
| 3 | 111221022100102211000210010200 |
| 4 | 120022211300000110210200 |
| 5 | 102412301132241400333 |
| 6 | 1014012425054025200 |
| 7 | 31246352261524554 |
| oct | 3012456000244440 |
| 9 | 457270384023120 |
| 10 | 106280844871968 |
| 11 | 309564a92156a8 |
| 12 | bb05b33aa8200 |
| 13 | 473c318990b50 |
| 14 | 1c3603db47864 |
| 15 | c4491e437c13 |
| hex | 60a970014920 |
106280844871968 has 576 divisors, whose sum is σ = 352578069043200. Its totient is φ = 30089902602240.
The previous prime is 106280844871951. The next prime is 106280844871973. The reversal of 106280844871968 is 869178448082601.
It is a happy number.
106280844871968 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 0 + 84 + 487 + 1 + 9 + 68 = 666.
It is a super-2 number, since 2×1062808448719682 (a number of 29 digits) contains 22 as substring.
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 = 106280844871896 and 106280844871905.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437863023 + ... + 438105681.
It is an arithmetic number, because the mean of its divisors is an integer number (612114703200).
Almost surely, 2106280844871968 is an apocalyptic number.
106280844871968 is a gapful number since it is divisible by the number (18) 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 106280844871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176289034521600).
106280844871968 is an abundant number, since it is smaller than the sum of its proper divisors (246297224171232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106280844871968 is a wasteful number, since it uses less digits than its factorization.
106280844871968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 242885 (or 242874 counting only the distinct ones).
The product of its (nonzero) digits is 297271296, while the sum is 72.
The spelling of 106280844871968 in words is "one hundred six trillion, two hundred eighty billion, eight hundred forty-four million, eight hundred seventy-one thousand, nine hundred sixty-eight".
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