Base | Representation |
---|---|
bin | 100001100100010010… |
… | …101011000010110000 |
3 | 10110000212001100000000 |
4 | 201210102223002300 |
5 | 1042303320323424 |
6 | 24320240430000 |
7 | 2414106650535 |
oct | 414422530260 |
9 | 113025040000 |
10 | 36042354864 |
11 | 14315a7373a |
12 | 6b9a618300 |
13 | 35251704c9 |
14 | 1a5cb20d8c |
15 | e0e32b3c9 |
hex | 8644ab0b0 |
36042354864 has 180 divisors, whose sum is σ = 105103060920. Its totient is φ = 11972862720.
The previous prime is 36042354833. The next prime is 36042354869. The reversal of 36042354864 is 46845324063.
36042354864 is a `hidden beast` number, since 3 + 6 + 0 + 42 + 3 + 548 + 64 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36042354869) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54692167 + ... + 54692825.
It is an arithmetic number, because the mean of its divisors is an integer number (583905894).
Almost surely, 236042354864 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 36042354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52551530460).
36042354864 is an abundant number, since it is smaller than the sum of its proper divisors (69060706056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36042354864 is an frugal number, since it uses more digits than its factorization.
36042354864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1212 (or 1185 counting only the distinct ones).
The product of its (nonzero) digits is 1658880, while the sum is 45.
The spelling of 36042354864 in words is "thirty-six billion, forty-two million, three hundred fifty-four thousand, eight hundred sixty-four".
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