Base | Representation |
---|---|
bin | 11111101010011000… |
… | …101000100110010000 |
3 | 10020202022112111011002 |
4 | 133222120220212100 |
5 | 1024111224103420 |
6 | 23341255441132 |
7 | 2312323362632 |
oct | 375230504620 |
9 | 106668474132 |
10 | 33997097360 |
11 | 13466525486 |
12 | 67096861a8 |
13 | 328a50b575 |
14 | 1907244a52 |
15 | d3e9c9075 |
hex | 7ea628990 |
33997097360 has 80 divisors (see below), whose sum is σ = 82236260352. Its totient is φ = 13056422400.
The previous prime is 33997097339. The next prime is 33997097363. The reversal of 33997097360 is 6379079933.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 33997097296 and 33997097305.
It is not an unprimeable number, because it can be changed into a prime (33997097363) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260990 + ... + 368930.
Almost surely, 233997097360 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 33997097360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41118130176).
33997097360 is an abundant number, since it is smaller than the sum of its proper divisors (48239162992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33997097360 is a wasteful number, since it uses less digits than its factorization.
33997097360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108112 (or 108106 counting only the distinct ones).
The product of its (nonzero) digits is 5786802, while the sum is 56.
The spelling of 33997097360 in words is "thirty-three billion, nine hundred ninety-seven million, ninety-seven thousand, three hundred sixty".
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