Base | Representation |
---|---|
bin | 101010110010000000… |
… | …001011010111010010 |
3 | 11101120100210211102000 |
4 | 222302000023113102 |
5 | 1223034113021304 |
6 | 33034105134430 |
7 | 3214224046464 |
oct | 526200132722 |
9 | 141510724360 |
10 | 45936063954 |
11 | 1853278a820 |
12 | 8a9ba8a416 |
13 | 4440b23941 |
14 | 231aad6134 |
15 | 12dcbe0939 |
hex | ab200b5d2 |
45936063954 has 96 divisors (see below), whose sum is σ = 114453259200. Its totient is φ = 13543562880.
The previous prime is 45936063949. The next prime is 45936063977.
45936063954 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×459360639542 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 45936063954.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784942 + ... + 841430.
It is an arithmetic number, because the mean of its divisors is an integer number (1192221450).
Almost surely, 245936063954 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45936063954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57226629600).
45936063954 is an abundant number, since it is smaller than the sum of its proper divisors (68517195246).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45936063954 is a wasteful number, since it uses less digits than its factorization.
45936063954 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56585 (or 56542 counting only the distinct ones).
The product of its (nonzero) digits is 10497600, while the sum is 54.
The spelling of 45936063954 in words is "forty-five billion, nine hundred thirty-six million, sixty-three thousand, nine hundred fifty-four".
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