Base | Representation |
---|---|
bin | 100111101111011111… |
… | …001001111110101000 |
3 | 11002010221002002100210 |
4 | 213233133021332220 |
5 | 1144343143040444 |
6 | 31334210301120 |
7 | 3040316231034 |
oct | 475737117650 |
9 | 132127062323 |
10 | 42672627624 |
11 | 17108649800 |
12 | 832ab877a0 |
13 | 40409a4023 |
14 | 20cb5171c4 |
15 | 119b4617b9 |
hex | 9ef7c9fa8 |
42672627624 has 96 divisors (see below), whose sum is σ = 117363456000. Its totient is φ = 12919864320.
The previous prime is 42672627623. The next prime is 42672627643.
42672627624 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (42672627623) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3708472 + ... + 3719960.
It is an arithmetic number, because the mean of its divisors is an integer number (1222536000).
Almost surely, 242672627624 is an apocalyptic number.
42672627624 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 42672627624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58681728000).
42672627624 is an abundant number, since it is smaller than the sum of its proper divisors (74690828376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42672627624 is a wasteful number, since it uses less digits than its factorization.
42672627624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12799 (or 12784 counting only the distinct ones).
The product of its digits is 2709504, while the sum is 48.
The spelling of 42672627624 in words is "forty-two billion, six hundred seventy-two million, six hundred twenty-seven thousand, six hundred twenty-four".
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