| Base | Representation |
|---|---|
| bin | 1110100100011000… |
| … | …10100011000000000 |
| 3 | 202012002100220000000 |
| 4 | 13102030110120000 |
| 5 | 112004240134330 |
| 6 | 3332040000000 |
| 7 | 364551621654 |
| oct | 72214243000 |
| 9 | 22162326000 |
| 10 | 7821411840 |
| 11 | 3353a8a530 |
| 12 | 1623460000 |
| 13 | 978544a58 |
| 14 | 542a9aa64 |
| 15 | 30b9c0560 |
| hex | 1d2314600 |
7821411840 has 640 divisors, whose sum is σ = 30923735040. Its totient is φ = 1881169920.
The previous prime is 7821411761. The next prime is 7821411847. The reversal of 7821411840 is 481141287.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×78214118402 (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 = 7821411795 and 7821411804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7821411847) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 61585857 + ... + 61585983.
It is an arithmetic number, because the mean of its divisors is an integer number (48318336).
Almost surely, 27821411840 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 7821411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461867520).
7821411840 is an abundant number, since it is smaller than the sum of its proper divisors (23102323200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7821411840 is an equidigital number, since it uses as much as digits as its factorization.
7821411840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 36.
The square root of 7821411840 is about 88438.7462597701. The cubic root of 7821411840 is about 1985.0055170131.
The spelling of 7821411840 in words is "seven billion, eight hundred twenty-one million, four hundred eleven thousand, eight hundred forty".
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