Base | Representation |
---|---|
bin | 10011111011000010… |
… | …01111110111010000 |
3 | 1000121102001001110200 |
4 | 21331201033313100 |
5 | 133401111133240 |
6 | 4525200055200 |
7 | 526023551100 |
oct | 117541176720 |
9 | 30542031420 |
10 | 10695802320 |
11 | 4599557655 |
12 | 20a6004500 |
13 | 1015bba018 |
14 | 736727200 |
15 | 429001930 |
hex | 27d84fdd0 |
10695802320 has 360 divisors, whose sum is σ = 42367161096. Its totient is φ = 2410684416.
The previous prime is 10695802289. The next prime is 10695802321. The reversal of 10695802320 is 2320859601.
10695802320 is a `hidden beast` number, since 10 + 69 + 580 + 2 + 3 + 2 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 10692387216 = 1848^2 + 103404^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×106958023202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10695802321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2573364 + ... + 2577516.
Almost surely, 210695802320 is an apocalyptic number.
10695802320 is a gapful number since it is divisible by the number (10) 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 10695802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183580548).
10695802320 is an abundant number, since it is smaller than the sum of its proper divisors (31671358776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10695802320 is a wasteful number, since it uses less digits than its factorization.
10695802320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4259 (or 4243 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The spelling of 10695802320 in words is "ten billion, six hundred ninety-five million, eight hundred two thousand, three hundred twenty".
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