| Base | Representation |
|---|---|
| bin | 10000110010101000… |
| … | …110010000001100000 |
| 3 | 1201112111112110120000 |
| 4 | 100302220302001200 |
| 5 | 243411012430030 |
| 6 | 12141013020000 |
| 7 | 1205533355400 |
| oct | 206250620140 |
| 9 | 51474473500 |
| 10 | 18029420640 |
| 11 | 7712157640 |
| 12 | 35b2024600 |
| 13 | 191436194a |
| 14 | c306c8800 |
| 15 | 707c6a860 |
| hex | 432a32060 |
18029420640 has 1440 divisors, whose sum is σ = 84468938400. Its totient is φ = 3576545280.
The previous prime is 18029420639. The next prime is 18029420681. The reversal of 18029420640 is 4602492081.
18029420640 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 9 + 4 + 2 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×180294206402 (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 = 18029420595 and 18029420604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 202577716 + ... + 202577804.
It is an arithmetic number, because the mean of its divisors is an integer number (58658985).
Almost surely, 218029420640 is an apocalyptic number.
18029420640 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 18029420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42234469200).
18029420640 is an abundant number, since it is smaller than the sum of its proper divisors (66439517760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18029420640 is a wasteful number, since it uses less digits than its factorization.
18029420640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 146 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 18029420640 in words is "eighteen billion, twenty-nine million, four hundred twenty thousand, six hundred forty".
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