Base | Representation |
---|---|
bin | 100011101110101100… |
… | …010100001000000000 |
3 | 10200000200021000120100 |
4 | 203232230110020000 |
5 | 1112032232120134 |
6 | 25342504442400 |
7 | 2525463306006 |
oct | 435654241000 |
9 | 120020230510 |
10 | 38364332544 |
11 | 152a773595a |
12 | 7528179400 |
13 | 380523bcb5 |
14 | 1bdd270a76 |
15 | ee80de999 |
hex | 8eeb14200 |
38364332544 has 120 divisors (see below), whose sum is σ = 111798415872. Its totient is φ = 12663797760.
The previous prime is 38364332537. The next prime is 38364332549. The reversal of 38364332544 is 44523346383.
38364332544 is a `hidden beast` number, since 3 + 8 + 36 + 43 + 32 + 544 = 666.
It is a self number, because there is not a number n which added to its sum of digits gives 38364332544.
It is not an unprimeable number, because it can be changed into a prime (38364332549) 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 11 ways as a sum of consecutive naturals, for example, 434209 + ... + 515039.
Almost surely, 238364332544 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 38364332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55899207936).
38364332544 is an abundant number, since it is smaller than the sum of its proper divisors (73434083328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38364332544 is a wasteful number, since it uses less digits than its factorization.
38364332544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80958 (or 80939 counting only the distinct ones).
The product of its digits is 2488320, while the sum is 45.
The spelling of 38364332544 in words is "thirty-eight billion, three hundred sixty-four million, three hundred thirty-two thousand, five hundred forty-four".
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