Base | Representation |
---|---|
bin | 101111110100010010… |
… | …1001011011000100000 |
3 | 100211001101101220212212 |
4 | 1133220211023120200 |
5 | 3140300143322442 |
6 | 115101243541252 |
7 | 10263443133611 |
oct | 1375045133040 |
9 | 324041356785 |
10 | 102686307872 |
11 | 3a60481aa55 |
12 | 17a9952a828 |
13 | 98b6210c25 |
14 | 4d81b2bc08 |
15 | 2a0eeb7a82 |
hex | 17e894b620 |
102686307872 has 48 divisors (see below), whose sum is σ = 209453428800. Its totient is φ = 49497181440.
The previous prime is 102686307869. The next prime is 102686307877. The reversal of 102686307872 is 278703686201.
It is a self number, because there is not a number n which added to its sum of digits gives 102686307872.
It is not an unprimeable number, because it can be changed into a prime (102686307877) 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 7 ways as a sum of consecutive naturals, for example, 527597 + ... + 695507.
It is an arithmetic number, because the mean of its divisors is an integer number (4363613100).
Almost surely, 2102686307872 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 102686307872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104726714400).
102686307872 is an abundant number, since it is smaller than the sum of its proper divisors (106767120928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102686307872 is a wasteful number, since it uses less digits than its factorization.
102686307872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168609 (or 168601 counting only the distinct ones).
The product of its (nonzero) digits is 1354752, while the sum is 50.
The spelling of 102686307872 in words is "one hundred two billion, six hundred eighty-six million, three hundred seven thousand, eight hundred seventy-two".
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