| Base | Representation |
|---|---|
| bin | 101001001010110100101… |
| … | …101100000000000000000 |
| 3 | 101000110110020222110200000 |
| 4 | 221022310231200000000 |
| 5 | 332323014244312300 |
| 6 | 10003402510400000 |
| 7 | 411253144555635 |
| oct | 51126455400000 |
| 9 | 11013406873600 |
| 10 | 2829120307200 |
| 11 | 9a0906727370 |
| 12 | 398376800000 |
| 13 | 176a2856c645 |
| 14 | 9ad044ac18c |
| 15 | 4d8d2a7dc00 |
| hex | 292b4b60000 |
2829120307200 has 2592 divisors, whose sum is σ = 12778653363840. Its totient is φ = 611529523200.
The previous prime is 2829120307177. The next prime is 2829120307249. The reversal of 2829120307200 is 27030219282.
2829120307200 is a `hidden beast` number, since 2 + 8 + 29 + 120 + 307 + 200 = 666.
It is a tau number, because it is divible by the number of its divisors (2592).
It is a super-2 number, since 2×28291203072002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148901068791 + ... + 148901068809.
It is an arithmetic number, because the mean of its divisors is an integer number (4930036020).
Almost surely, 22829120307200 is an apocalyptic number.
2829120307200 is a gapful number since it is divisible by the number (20) 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 2829120307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389326681920).
2829120307200 is an abundant number, since it is smaller than the sum of its proper divisors (9949533056640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2829120307200 is an equidigital number, since it uses as much as digits as its factorization.
2829120307200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 2829120307200 in words is "two trillion, eight hundred twenty-nine billion, one hundred twenty million, three hundred seven thousand, two hundred".
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