Base | Representation |
---|---|
bin | 10010000110101110… |
… | …01100010000000000 |
3 | 221002102001121102200 |
4 | 21003113030100000 |
5 | 124401320300202 |
6 | 4244303113200 |
7 | 462605244450 |
oct | 110327142000 |
9 | 27072047380 |
10 | 9720087552 |
11 | 413881070a |
12 | 1a732a2800 |
13 | bbba038c6 |
14 | 682cdbd60 |
15 | 3bd51ae1c |
hex | 2435cc400 |
9720087552 has 264 divisors, whose sum is σ = 33966706176. Its totient is φ = 2613510144.
The previous prime is 9720087529. The next prime is 9720087571. The reversal of 9720087552 is 2557800279.
It is a happy number.
9720087552 is a `hidden beast` number, since 97 + 2 + 0 + 0 + 8 + 7 + 552 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 9720087498 and 9720087507.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092273 + ... + 1101135.
Almost surely, 29720087552 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 9720087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983353088).
9720087552 is an abundant number, since it is smaller than the sum of its proper divisors (24246618624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9720087552 is a wasteful number, since it uses less digits than its factorization.
9720087552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8913 (or 8892 counting only the distinct ones).
The product of its (nonzero) digits is 352800, while the sum is 45.
The square root of 9720087552 is about 98590.5043703500. The cubic root of 9720087552 is about 2134.1423903522.
The spelling of 9720087552 in words is "nine billion, seven hundred twenty million, eighty-seven thousand, five hundred fifty-two".
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