Base | Representation |
---|---|
bin | 101011101000011000… |
… | …100011101111000000 |
3 | 11110220221120120100000 |
4 | 223220120203233000 |
5 | 1231421144044041 |
6 | 33304420200000 |
7 | 3245643020100 |
oct | 535030435700 |
9 | 143827516300 |
10 | 46848424896 |
11 | 18960795029 |
12 | 90b5539000 |
13 | 4557b576a0 |
14 | 23a5d4d200 |
15 | 1342d5ebb6 |
hex | ae8623bc0 |
46848424896 has 504 divisors, whose sum is σ = 174489435120. Its totient is φ = 12353015808.
The previous prime is 46848424877. The next prime is 46848424901. The reversal of 46848424896 is 69842484864.
46848424896 is a `hidden beast` number, since 4 + 68 + 484 + 2 + 4 + 8 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (504).
It is a super-2 number, since 2×468484248962 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9904260 + ... + 9908988.
Almost surely, 246848424896 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 46848424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87244717560).
46848424896 is an abundant number, since it is smaller than the sum of its proper divisors (127641010224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46848424896 is a wasteful number, since it uses less digits than its factorization.
46848424896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4783 (or 4754 counting only the distinct ones).
The product of its digits is 84934656, while the sum is 63.
The spelling of 46848424896 in words is "forty-six billion, eight hundred forty-eight million, four hundred twenty-four thousand, eight hundred ninety-six".
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