Base | Representation |
---|---|
bin | 11101000100101010111… |
… | …101001100111001000000 |
3 | 21001222212201121001011021 |
4 | 131010222331030321000 |
5 | 230213124400314141 |
6 | 4125451424155224 |
7 | 264225224606302 |
oct | 35045275147100 |
9 | 7058781531137 |
10 | 1997880479296 |
11 | 70032949a589 |
12 | 283252168b14 |
13 | 116526400300 |
14 | 6c9ab1a1972 |
15 | 36e81dab6d1 |
hex | 1d12af4ce40 |
1997880479296 has 63 divisors (see below), whose sum is σ = 4293283737393. Its totient is φ = 922030836480.
The previous prime is 1997880479279. The next prime is 1997880479311. The reversal of 1997880479296 is 6929740887991.
The square root of 1997880479296 is 1413464.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 295544449600 + 1702336029696 = 543640^2 + 1304736^2 .
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 146993461 + ... + 147007051.
It is an arithmetic number, because the mean of its divisors is an integer number (68147360911).
Almost surely, 21997880479296 is an apocalyptic number.
1997880479296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
1997880479296 is the 1413464-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1997880479296
1997880479296 is an abundant number, since it is smaller than the sum of its proper divisors (2295403258097).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1997880479296 is an frugal number, since it uses more digits than its factorization.
1997880479296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27220 (or 13606 counting only the distinct ones).
The product of its (nonzero) digits is 987614208, while the sum is 79.
The spelling of 1997880479296 in words is "one trillion, nine hundred ninety-seven billion, eight hundred eighty million, four hundred seventy-nine thousand, two hundred ninety-six".
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