Base | Representation |
---|---|
bin | 101011001011100100… |
… | …101001110101101100 |
3 | 11102200021000220100210 |
4 | 223023210221311230 |
5 | 1224423423300424 |
6 | 33144432022420 |
7 | 3230653322304 |
oct | 531344516554 |
9 | 142607026323 |
10 | 46365056364 |
11 | 18732958100 |
12 | 8b9b691a10 |
13 | 44ab9766c3 |
14 | 235ba86604 |
15 | 13156ce729 |
hex | acb929d6c |
46365056364 has 144 divisors (see below), whose sum is σ = 120540964320. Its totient is φ = 13858944000.
The previous prime is 46365056359. The next prime is 46365056417.
46365056364 is nontrivially palindromic in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59980282 + ... + 59981054.
It is an arithmetic number, because the mean of its divisors is an integer number (837090030).
Almost surely, 246365056364 is an apocalyptic number.
46365056364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46365056364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60270482160).
46365056364 is an abundant number, since it is smaller than the sum of its proper divisors (74175907956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46365056364 is a wasteful number, since it uses less digits than its factorization.
46365056364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).
The product of its (nonzero) digits is 4665600, while the sum is 48.
The spelling of 46365056364 in words is "forty-six billion, three hundred sixty-five million, fifty-six thousand, three hundred sixty-four".
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