Base | Representation |
---|---|
bin | 10010100101000001… |
… | …00111010000000000 |
3 | 221202010020122200120 |
4 | 21102200213100000 |
5 | 130411344400210 |
6 | 4325422020240 |
7 | 502112302002 |
oct | 112240472000 |
9 | 27663218616 |
10 | 9974215680 |
11 | 4259203960 |
12 | 1b24417680 |
13 | c2c560290 |
14 | 6a8970372 |
15 | 3d59b8270 |
hex | 252827400 |
9974215680 has 704 divisors, whose sum is σ = 39616819200. Its totient is φ = 2105671680.
The previous prime is 9974215679. The next prime is 9974215703. The reversal of 9974215680 is 865124799.
It is a tau number, because it is divible by the number of its divisors (704).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41733001 + ... + 41733239.
Almost surely, 29974215680 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 9974215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808409600).
9974215680 is an abundant number, since it is smaller than the sum of its proper divisors (29642603520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9974215680 is a wasteful number, since it uses less digits than its factorization.
9974215680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 310 (or 292 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 51.
The square root of 9974215680 is about 99870.9951887934. The cubic root of 9974215680 is about 2152.5814084823.
The spelling of 9974215680 in words is "nine billion, nine hundred seventy-four million, two hundred fifteen thousand, six hundred eighty".
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