Base | Representation |
---|---|
bin | 11111010000010000111… |
… | …111010001111100000000 |
3 | 21121022202200200011020212 |
4 | 133100100333101330000 |
5 | 240142112240001000 |
6 | 4322401000253252 |
7 | 311112465330620 |
oct | 37202077217400 |
9 | 7538680604225 |
10 | 2147768672000 |
11 | 758955472206 |
12 | 2a8303471228 |
13 | 1276c27638b3 |
14 | 75d49b6a880 |
15 | 3ad05c52c35 |
hex | 1f410fd1f00 |
2147768672000 has 288 divisors, whose sum is σ = 6141779804160. Its totient is φ = 733116518400.
The previous prime is 2147768671943. The next prime is 2147768672009. The reversal of 2147768672000 is 2768677412.
It is a super-2 number, since 2×21477686720002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (50).
It is a self number, because there is not a number n which added to its sum of digits gives 2147768672000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2147768672009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50826881 + ... + 50869119.
It is an arithmetic number, because the mean of its divisors is an integer number (21325624320).
Almost surely, 22147768672000 is an apocalyptic number.
2147768672000 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 2147768672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070889902080).
2147768672000 is an abundant number, since it is smaller than the sum of its proper divisors (3994011132160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2147768672000 is an equidigital number, since it uses as much as digits as its factorization.
2147768672000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42504 (or 42480 counting only the distinct ones).
The product of its (nonzero) digits is 1580544, while the sum is 50.
The spelling of 2147768672000 in words is "two trillion, one hundred forty-seven billion, seven hundred sixty-eight million, six hundred seventy-two thousand".
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