| Base | Representation |
|---|---|
| bin | 111000111101110111010… |
| … | …1000110110010010110000 |
| 3 | 1000201111010201112212022200 |
| 4 | 1301323232220312102300 |
| 5 | 2011234140112130424 |
| 6 | 24352443052503200 |
| 7 | 1435441450531440 |
| oct | 161735650662260 |
| 9 | 30644121485280 |
| 10 | 7829434098864 |
| 11 | 2549498488184 |
| 12 | a6549177ab00 |
| 13 | 44a40a650041 |
| 14 | 1d0d377b8120 |
| 15 | d89dcad58c9 |
| hex | 71eeea364b0 |
7829434098864 has 240 divisors, whose sum is σ = 26520791132160. Its totient is φ = 2104918824960.
The previous prime is 7829434098851. The next prime is 7829434098877. The reversal of 7829434098864 is 4688904349287.
7829434098864 is a `hidden beast` number, since 7 + 8 + 29 + 434 + 0 + 98 + 86 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (7829434098851) and next prime (7829434098877).
It is a super-2 number, since 2×78294340988642 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 7829434098792 and 7829434098801.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79444659 + ... + 79543149.
It is an arithmetic number, because the mean of its divisors is an integer number (110503296384).
Almost surely, 27829434098864 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 7829434098864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260395566080).
7829434098864 is an abundant number, since it is smaller than the sum of its proper divisors (18691357033296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7829434098864 is a wasteful number, since it uses less digits than its factorization.
7829434098864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103168 (or 103159 counting only the distinct ones).
The product of its (nonzero) digits is 668860416, while the sum is 72.
The spelling of 7829434098864 in words is "seven trillion, eight hundred twenty-nine billion, four hundred thirty-four million, ninety-eight thousand, eight hundred sixty-four".
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