Base | Representation |
---|---|
bin | 101011001001100110… |
… | …101001001001000100 |
3 | 11102120221212122121100 |
4 | 223021212221021010 |
5 | 1224341444221424 |
6 | 33141252020100 |
7 | 3230102462214 |
oct | 531146511104 |
9 | 142527778540 |
10 | 46332023364 |
11 | 18716245a00 |
12 | 8b90601630 |
13 | 44a4b7c053 |
14 | 2357528244 |
15 | 1312856dc9 |
hex | ac99a9244 |
46332023364 has 108 divisors (see below), whose sum is σ = 128816828140. Its totient is φ = 14030755200.
The previous prime is 46332023359. The next prime is 46332023371.
46332023364 is a `hidden beast` number, since 46 + 3 + 320 + 233 + 64 = 666.
46332023364 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 15510709764 + 30821313600 = 124542^2 + 175560^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9672282 + ... + 9677070.
Almost surely, 246332023364 is an apocalyptic number.
46332023364 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 46332023364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408414070).
46332023364 is an abundant number, since it is smaller than the sum of its proper divisors (82484804776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46332023364 is a wasteful number, since it uses less digits than its factorization.
46332023364 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7042 (or 7026 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 36.
It can be divided in two parts, 463320 and 23364, that added together give a palindrome (486684).
The spelling of 46332023364 in words is "forty-six billion, three hundred thirty-two million, twenty-three thousand, three hundred sixty-four".
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