Base | Representation |
---|---|
bin | 100001110101110100… |
… | …100110000101110000 |
3 | 10110210100110102121011 |
4 | 201311310212011300 |
5 | 1043404113211034 |
6 | 24405344240304 |
7 | 2424310546405 |
oct | 416564460560 |
9 | 113710412534 |
10 | 36336460144 |
11 | 14456a91356 |
12 | 7061010094 |
13 | 35710861ba |
14 | 1a89bdc2ac |
15 | e2a073864 |
hex | 875d26170 |
36336460144 has 60 divisors (see below), whose sum is σ = 75811965184. Its totient is φ = 16865114112.
The previous prime is 36336460099. The next prime is 36336460157. The reversal of 36336460144 is 44106463363.
It is a junction number, because it is equal to n+sod(n) for n = 36336460097 and 36336460106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283729 + ... + 391375.
Almost surely, 236336460144 is an apocalyptic number.
36336460144 is a gapful number since it is divisible by the number (34) 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 36336460144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37905982592).
36336460144 is an abundant number, since it is smaller than the sum of its proper divisors (39475505040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36336460144 is a wasteful number, since it uses less digits than its factorization.
36336460144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 107762 (or 107739 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 40.
The spelling of 36336460144 in words is "thirty-six billion, three hundred thirty-six million, four hundred sixty thousand, one hundred forty-four".
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