| Base | Representation |
|---|---|
| bin | 110110010110101… |
| … | …0110111011000000 |
| 3 | 11201002212011000000 |
| 4 | 1230231112323000 |
| 5 | 12213400022241 |
| 6 | 500551000000 |
| 7 | 63124203513 |
| oct | 15455267300 |
| 9 | 4632764000 |
| 10 | 1823829696 |
| 11 | 856560277 |
| 12 | 42a969000 |
| 13 | 230b14690 |
| 14 | 13431ad7a |
| 15 | aa1b3eb6 |
| hex | 6cb56ec0 |
1823829696 has 392 divisors, whose sum is σ = 6094358144. Its totient is φ = 537477120.
The previous prime is 1823829661. The next prime is 1823829697. The reversal of 1823829696 is 6969283281.
1823829696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×18238296962 = 6652709520022904832, which contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (1823829697) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18802320 + ... + 18802416.
It is an arithmetic number, because the mean of its divisors is an integer number (15546832).
Almost surely, 21823829696 is an apocalyptic number.
1823829696 is a gapful number since it is divisible by the number (16) 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 1823829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047179072).
1823829696 is an abundant number, since it is smaller than the sum of its proper divisors (4270528448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1823829696 is an equidigital number, since it uses as much as digits as its factorization.
1823829696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 146 counting only the distinct ones).
The product of its digits is 2239488, while the sum is 54.
The square root of 1823829696 is about 42706.3191577078. The cubic root of 1823829696 is about 1221.7849211145.
The spelling of 1823829696 in words is "one billion, eight hundred twenty-three million, eight hundred twenty-nine thousand, six hundred ninety-six".
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