Base | Representation |
---|---|
bin | 10000011110110100010101… |
… | …11110000101111011000100 |
3 | 11202022211012111100000101100 |
4 | 20033122022332011323010 |
5 | 14222302201441423034 |
6 | 205025532031500100 |
7 | 10430326623240000 |
oct | 1017321276057304 |
9 | 152284174300340 |
10 | 36243265576644 |
11 | 10603756615815 |
12 | 4094230387630 |
13 | 172b95758c629 |
14 | 8d427d403700 |
15 | 42cb85721099 |
hex | 20f68af85ec4 |
36243265576644 has 135 divisors (see below), whose sum is σ = 106882935032237. Its totient is φ = 10354713036192.
The previous prime is 36243265576613. The next prime is 36243265576649. The reversal of 36243265576644 is 44667556234263.
The square root of 36243265576644 is 6020238.
It is a perfect power (a square), and thus also a powerful number.
36243265576644 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 32 + 6 + 557 + 6 + 6 + 44 = 666.
36243265576644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 28521047060100 + 7722218516544 = 5340510^2 + 2778888^2 .
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (36243265576649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1769939734 + ... + 1769960210.
Almost surely, 236243265576644 is an apocalyptic number.
36243265576644 is the 6020238-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36243265576644
36243265576644 is an abundant number, since it is smaller than the sum of its proper divisors (70639669455593).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36243265576644 is an frugal number, since it uses more digits than its factorization.
36243265576644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40992 (or 20489 counting only the distinct ones).
The product of its digits is 522547200, while the sum is 63.
The spelling of 36243265576644 in words is "thirty-six trillion, two hundred forty-three billion, two hundred sixty-five million, five hundred seventy-six thousand, six hundred forty-four".
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