Base | Representation |
---|---|
bin | 11110010100111111001… |
… | …100000100011110011110 |
3 | 21101020110212002101022000 |
4 | 132110333030010132132 |
5 | 233121234013022410 |
6 | 4233233044503130 |
7 | 303400263323100 |
oct | 36247714043636 |
9 | 7336425071260 |
10 | 2084119267230 |
11 | 733962aa2350 |
12 | 297abb3aaaa6 |
13 | 1216bac19100 |
14 | 72c2c747570 |
15 | 3932ce2edc0 |
hex | 1e53f30479e |
2084119267230 has 1152 divisors, whose sum is σ = 7721810611200. Its totient is φ = 395321472000.
The previous prime is 2084119267159. The next prime is 2084119267249. The reversal of 2084119267230 is 327629114802.
2084119267230 is a `hidden beast` number, since 208 + 411 + 9 + 2 + 6 + 7 + 23 + 0 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 575 ways as a sum of consecutive naturals, for example, 2484051151 + ... + 2484051989.
It is an arithmetic number, because the mean of its divisors is an integer number (6702960600).
Almost surely, 22084119267230 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2084119267230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860905305600).
2084119267230 is an abundant number, since it is smaller than the sum of its proper divisors (5637691343970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2084119267230 is a wasteful number, since it uses less digits than its factorization.
2084119267230 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1007 (or 981 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The spelling of 2084119267230 in words is "two trillion, eighty-four billion, one hundred nineteen million, two hundred sixty-seven thousand, two hundred thirty".
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