Base | Representation |
---|---|
bin | 11100101110101111101… |
… | …111110010110100000000 |
3 | 20222202010001021010200000 |
4 | 130232233233302310000 |
5 | 224321421130434220 |
6 | 4110555410400000 |
7 | 262432643420244 |
oct | 34565757626400 |
9 | 6882101233600 |
10 | 1974338530560 |
11 | 6a13486a2000 |
12 | 27a781b90000 |
13 | 114243c8c526 |
14 | 6b7b671c424 |
15 | 365551e9390 |
hex | 1cbafbf2d00 |
1974338530560 has 1728 divisors, whose sum is σ = 8234650045440. Its totient is φ = 451630080000.
The previous prime is 1974338530537. The next prime is 1974338530597. The reversal of 1974338530560 is 650358334791.
1974338530560 is a `hidden beast` number, since 1 + 9 + 7 + 43 + 3 + 8 + 5 + 30 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 1974338530497 and 1974338530506.
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 191 ways as a sum of consecutive naturals, for example, 7865890435 + ... + 7865890685.
It is an arithmetic number, because the mean of its divisors is an integer number (4765422480).
Almost surely, 21974338530560 is an apocalyptic number.
1974338530560 is a gapful number since it is divisible by the number (10) 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 1974338530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117325022720).
1974338530560 is an abundant number, since it is smaller than the sum of its proper divisors (6260311514880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1974338530560 is an equidigital number, since it uses as much as digits as its factorization.
1974338530560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 339 (or 291 counting only the distinct ones).
The product of its (nonzero) digits is 8164800, while the sum is 54.
The spelling of 1974338530560 in words is "one trillion, nine hundred seventy-four billion, three hundred thirty-eight million, five hundred thirty thousand, five hundred sixty".
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