Base | Representation |
---|---|
bin | 11100010111101001001… |
… | …11000111110100000000 |
3 | 10110012001011011002001011 |
4 | 32023310213013310000 |
5 | 111432310211131331 |
6 | 2023445045050304 |
7 | 130265423404600 |
oct | 16136447076400 |
9 | 3405034132034 |
10 | 974766505216 |
11 | 34643a309879 |
12 | 138abb3b6994 |
13 | 70bc657b43a |
14 | 3527107cc00 |
15 | 1a5513203b1 |
hex | e2f49c7d00 |
974766505216 has 108 divisors (see below), whose sum is σ = 2266944506820. Its totient is φ = 417101905920.
The previous prime is 974766505201. The next prime is 974766505283. The reversal of 974766505216 is 612505667479.
It can be written as a sum of positive squares in 2 ways, for example, as 715986745600 + 258779759616 = 846160^2 + 508704^2 .
It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.
It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 7980090 + ... + 8101318.
It is an arithmetic number, because the mean of its divisors is an integer number (20990226915).
Almost surely, 2974766505216 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 974766505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133472253410).
974766505216 is an abundant number, since it is smaller than the sum of its proper divisors (1292178001604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
974766505216 is a wasteful number, since it uses less digits than its factorization.
974766505216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121900 (or 121879 counting only the distinct ones).
The product of its (nonzero) digits is 19051200, while the sum is 58.
The spelling of 974766505216 in words is "nine hundred seventy-four billion, seven hundred sixty-six million, five hundred five thousand, two hundred sixteen".
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