Base | Representation |
---|---|
bin | 101010110101110101… |
… | …001110000100100000 |
3 | 11101201211200101010200 |
4 | 222311311032010200 |
5 | 1223202034102240 |
6 | 33044322025200 |
7 | 3215634046512 |
oct | 526565160440 |
9 | 141654611120 |
10 | 46000300320 |
11 | 18565a74527 |
12 | 8ab94a8200 |
13 | 4451224c20 |
14 | 2325457bb2 |
15 | 12e367d930 |
hex | ab5d4e120 |
46000300320 has 288 divisors, whose sum is σ = 173622666672. Its totient is φ = 11016953856.
The previous prime is 46000300319. The next prime is 46000300321. The reversal of 46000300320 is 2300300064.
46000300320 is a `hidden beast` number, since 4 + 600 + 0 + 30 + 0 + 32 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (46000300319) and next prime (46000300321).
It can be written as a sum of positive squares in 8 ways, for example, as 16681272336 + 29319027984 = 129156^2 + 171228^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 46000300293 and 46000300302.
It is not an unprimeable number, because it can be changed into a prime (46000300321) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659434 + ... + 725846.
Almost surely, 246000300320 is an apocalyptic number.
46000300320 is a gapful number since it is divisible by the number (40) 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 46000300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86811333336).
46000300320 is an abundant number, since it is smaller than the sum of its proper divisors (127622366352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46000300320 is a wasteful number, since it uses less digits than its factorization.
46000300320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66484 (or 66473 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 46000300320 its reverse (2300300064), we get a palindrome (48300600384).
The spelling of 46000300320 in words is "forty-six billion, three hundred thousand, three hundred twenty".
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