| Base | Representation |
|---|---|
| bin | 100001100001110001… |
| … | …000110100000000000 |
| 3 | 10102220220100111001100 |
| 4 | 201201301012200000 |
| 5 | 1042212000000000 |
| 6 | 24312124534400 |
| 7 | 2413053644136 |
| oct | 414161064000 |
| 9 | 112826314040 |
| 10 | 36000000000 |
| 11 | 142a4074918 |
| 12 | 6b883b1400 |
| 13 | 3519460b63 |
| 14 | 1a57257756 |
| 15 | e0a761a00 |
| hex | 861c46800 |
36000000000 has 360 divisors, whose sum is σ = 129968248410. Its totient is φ = 9600000000.
The previous prime is 35999999929. The next prime is 36000000007. The reversal of 36000000000 is 63.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 33867777024 + 2132222976 = 184032^2 + 46176^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (36000000007) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7199999998 + ... + 7200000002.
Almost surely, 236000000000 is an apocalyptic number.
36000000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64984124205).
36000000000 is an abundant number, since it is smaller than the sum of its proper divisors (93968248410).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000000000 is an frugal number, since it uses more digits than its factorization.
36000000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
Adding to 36000000000 its reverse (63), we get a palindrome (36000000063).
The spelling of 36000000000 in words is "thirty-six billion", and thus it is an aban number, an eban number, and an uban number.
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