Base | Representation |
---|---|
bin | 100010001001111101… |
… | …011011111010000000 |
3 | 10111122220012121000000 |
4 | 202021331123322000 |
5 | 1100102111301143 |
6 | 24503054000000 |
7 | 2435552410500 |
oct | 421175337200 |
9 | 114586177000 |
10 | 36674322048 |
11 | 1460a775a71 |
12 | 71361a6000 |
13 | 35c607c5a0 |
14 | 1abca29a00 |
15 | e49a60bd3 |
hex | 889f5be80 |
36674322048 has 672 divisors, whose sum is σ = 137452204260. Its totient is φ = 9656672256.
The previous prime is 36674322023. The next prime is 36674322049. The reversal of 36674322048 is 84022347663.
36674322048 is a `hidden beast` number, since 3 + 6 + 6 + 7 + 432 + 204 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 28167580224 + 8506741824 = 167832^2 + 92232^2 .
It is a tau number, because it is divible by the number of its divisors (672).
It is a junction number, because it is equal to n+sod(n) for n = 36674321994 and 36674322012.
It is not an unprimeable number, because it can be changed into a prime (36674322049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 59439436 + ... + 59440052.
Almost surely, 236674322048 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 36674322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68726102130).
36674322048 is an abundant number, since it is smaller than the sum of its proper divisors (100777882212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36674322048 is an equidigital number, since it uses as much as digits as its factorization.
36674322048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 676 (or 642 counting only the distinct ones).
The product of its (nonzero) digits is 1161216, while the sum is 45.
The spelling of 36674322048 in words is "thirty-six billion, six hundred seventy-four million, three hundred twenty-two thousand, forty-eight".
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