Base | Representation |
---|---|
bin | 1111000101010101… |
… | …00000110010000000 |
3 | 202220100100221202010 |
4 | 13202222200302000 |
5 | 113041011344212 |
6 | 3415311052520 |
7 | 404445562554 |
oct | 74252406200 |
9 | 22810327663 |
10 | 8097762432 |
11 | 3485a80851 |
12 | 169bb11140 |
13 | 9c0882306 |
14 | 56b675864 |
15 | 325dac03c |
hex | 1e2aa0c80 |
8097762432 has 128 divisors (see below), whose sum is σ = 21924777600. Its totient is φ = 2647572480.
The previous prime is 8097762401. The next prime is 8097762457. The reversal of 8097762432 is 2342677908.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×80977624322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6242808 + ... + 6244104.
It is an arithmetic number, because the mean of its divisors is an integer number (171287325).
Almost surely, 28097762432 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 8097762432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962388800).
8097762432 is an abundant number, since it is smaller than the sum of its proper divisors (13827015168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8097762432 is a wasteful number, since it uses less digits than its factorization.
8097762432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1614 (or 1602 counting only the distinct ones).
The product of its (nonzero) digits is 1016064, while the sum is 48.
The square root of 8097762432 is about 89987.5682080586. The cubic root of 8097762432 is about 2008.1139070741.
The spelling of 8097762432 in words is "eight billion, ninety-seven million, seven hundred sixty-two thousand, four hundred thirty-two".
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