Base | Representation |
---|---|
bin | 100000111101111000… |
… | …111001111101010000 |
3 | 10101100221201001211111 |
4 | 200331320321331100 |
5 | 1034443401103000 |
6 | 24132303223104 |
7 | 2362124411413 |
oct | 407570717520 |
9 | 111327631744 |
10 | 35398066000 |
11 | 14015315a00 |
12 | 6a3a8a7a94 |
13 | 3451838bab |
14 | 19db329b7a |
15 | dc29b0cba |
hex | 83de39f50 |
35398066000 has 120 divisors (see below), whose sum is σ = 94081681512. Its totient is φ = 12871936000.
The previous prime is 35398065977. The next prime is 35398066013. The reversal of 35398066000 is 66089353.
It can be written as a sum of positive squares in 4 ways, for example, as 8808197904 + 26589868096 = 93852^2 + 163064^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168864 + ... + 315136.
Almost surely, 235398066000 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 35398066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040840756).
35398066000 is an abundant number, since it is smaller than the sum of its proper divisors (58683615512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35398066000 is a wasteful number, since it uses less digits than its factorization.
35398066000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146318 (or 146291 counting only the distinct ones).
The product of its (nonzero) digits is 116640, while the sum is 40.
The spelling of 35398066000 in words is "thirty-five billion, three hundred ninety-eight million, sixty-six thousand".
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