Base | Representation |
---|---|
bin | 10010001101001111… |
… | …01001011111000000 |
3 | 221020012212220020100 |
4 | 21012213221133000 |
5 | 130004312430443 |
6 | 4253534242400 |
7 | 464140601400 |
oct | 110647513700 |
9 | 27205786210 |
10 | 9774733248 |
11 | 4166644845 |
12 | 1a89656400 |
13 | bca127737 |
14 | 68a284800 |
15 | 3c32123d3 |
hex | 2469e97c0 |
9774733248 has 252 divisors, whose sum is σ = 33390669312. Its totient is φ = 2724341760.
The previous prime is 9774733201. The next prime is 9774733333. The reversal of 9774733248 is 8423374779.
It is a tau number, because it is divible by the number of its divisors (252).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 9774733194 and 9774733203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1152961 + ... + 1161407.
It is an arithmetic number, because the mean of its divisors is an integer number (132502656).
Almost surely, 29774733248 is an apocalyptic number.
9774733248 is a gapful number since it is divisible by the number (98) 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 9774733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695334656).
9774733248 is an abundant number, since it is smaller than the sum of its proper divisors (23615936064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9774733248 is a wasteful number, since it uses less digits than its factorization.
9774733248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8520 (or 8500 counting only the distinct ones).
The product of its digits is 7112448, while the sum is 54.
The square root of 9774733248 is about 98867.2506343734. The cubic root of 9774733248 is about 2138.1342552809.
The spelling of 9774733248 in words is "nine billion, seven hundred seventy-four million, seven hundred thirty-three thousand, two hundred forty-eight".
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