Base | Representation |
---|---|
bin | 101011110000000010… |
… | …100001111001111100 |
3 | 11111020220021011002200 |
4 | 223300002201321330 |
5 | 1232202034233324 |
6 | 33325245151500 |
7 | 3252062534505 |
oct | 536002417174 |
9 | 144226234080 |
10 | 46976867964 |
11 | 18a17243224 |
12 | 913055b590 |
13 | 45786495c0 |
14 | 23b9025bac |
15 | 134e281ec9 |
hex | af00a1e7c |
46976867964 has 72 divisors (see below), whose sum is σ = 128038284192. Its totient is φ = 14436696960.
The previous prime is 46976867921. The next prime is 46976868031.
46976867964 is a `hidden beast` number, since 469 + 76 + 8 + 6 + 7 + 96 + 4 = 666.
46976867964 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×469768679642 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 46976867892 and 46976867901.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323097 + ... + 445359.
Almost surely, 246976867964 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46976867964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64019142096).
46976867964 is an abundant number, since it is smaller than the sum of its proper divisors (81061416228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46976867964 is a wasteful number, since it uses less digits than its factorization.
46976867964 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123107 (or 123102 counting only the distinct ones).
The product of its digits is 658409472, while the sum is 72.
The spelling of 46976867964 in words is "forty-six billion, nine hundred seventy-six million, eight hundred sixty-seven thousand, nine hundred sixty-four".
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