Base | Representation |
---|---|
bin | 10010111110100010… |
… | …11000010111000100 |
3 | 222022001010121022000 |
4 | 21133101120113010 |
5 | 131331202420330 |
6 | 4402551105300 |
7 | 510322226223 |
oct | 113721302704 |
9 | 28261117260 |
10 | 10188326340 |
11 | 4359054415 |
12 | 1b84072230 |
13 | c64a1818a |
14 | 6c9186cba |
15 | 3e96ad560 |
hex | 25f4585c4 |
10188326340 has 96 divisors (see below), whose sum is σ = 31977711360. Its totient is φ = 2692827648.
The previous prime is 10188326339. The next prime is 10188326341. The reversal of 10188326340 is 4362388101.
10188326340 is a `hidden beast` number, since 1 + 0 + 18 + 8 + 3 + 2 + 634 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10188326339) and next prime (10188326341).
It is a super-2 number, since 2×101883263402 (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 junction number, because it is equal to n+sod(n) for n = 10188326295 and 10188326304.
It is not an unprimeable number, because it can be changed into a prime (10188326341) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22464 + ... + 144503.
It is an arithmetic number, because the mean of its divisors is an integer number (333101160).
Almost surely, 210188326340 is an apocalyptic number.
10188326340 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 10188326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988855680).
10188326340 is an abundant number, since it is smaller than the sum of its proper divisors (21789385020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10188326340 is a wasteful number, since it uses less digits than its factorization.
10188326340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167098 (or 167090 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 10188326340 in words is "ten billion, one hundred eighty-eight million, three hundred twenty-six thousand, three hundred forty".
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