Base | Representation |
---|---|
bin | 11101110010011001011… |
… | …101001010011101101100 |
3 | 21020200121111002220200000 |
4 | 131302121131022131230 |
5 | 232014203110220410 |
6 | 4204211423504300 |
7 | 300614022230166 |
oct | 35623135123554 |
9 | 7220544086600 |
10 | 2046978991980 |
11 | 71a13430489a |
12 | 290875158090 |
13 | 11b04c475690 |
14 | 71107ca9936 |
15 | 383a752ddc0 |
hex | 1dc9974a76c |
2046978991980 has 1152 divisors, whose sum is σ = 7940621445120. Its totient is φ = 436968898560.
The previous prime is 2046978991969. The next prime is 2046978992011. The reversal of 2046978991980 is 891998796402.
2046978991980 is a `hidden beast` number, since 2 + 0 + 469 + 7 + 89 + 9 + 1 + 9 + 80 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 2046978991899 and 2046978991908.
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 383 ways as a sum of consecutive naturals, for example, 755062825 + ... + 755065535.
It is an arithmetic number, because the mean of its divisors is an integer number (6892900560).
Almost surely, 22046978991980 is an apocalyptic number.
2046978991980 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 2046978991980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970310722560).
2046978991980 is an abundant number, since it is smaller than the sum of its proper divisors (5893642453140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046978991980 is a wasteful number, since it uses less digits than its factorization.
2046978991980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2821 (or 2807 counting only the distinct ones).
The product of its (nonzero) digits is 141087744, while the sum is 72.
The spelling of 2046978991980 in words is "two trillion, forty-six billion, nine hundred seventy-eight million, nine hundred ninety-one thousand, nine hundred eighty".
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