Base | Representation |
---|---|
bin | 101100010110100011… |
… | …111010001001001000 |
3 | 11112220221100210101212 |
4 | 230112203322021020 |
5 | 1240013011332300 |
6 | 33513333232252 |
7 | 3304101054221 |
oct | 542643721110 |
9 | 145827323355 |
10 | 47623152200 |
11 | 19219034128 |
12 | 9290a92688 |
13 | 464c4cc200 |
14 | 243abba248 |
15 | 138ad93935 |
hex | b168fa248 |
47623152200 has 108 divisors (see below), whose sum is σ = 119997309915. Its totient is φ = 17569119360.
The previous prime is 47623152197. The next prime is 47623152209. The reversal of 47623152200 is 225132674.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 2981378404 + 44641773796 = 54602^2 + 211286^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=154310.
It is not an unprimeable number, because it can be changed into a prime (47623152209) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40120007 + ... + 40121193.
Almost surely, 247623152200 is an apocalyptic number.
47623152200 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 47623152200
47623152200 is an abundant number, since it is smaller than the sum of its proper divisors (72374157715).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47623152200 is a wasteful number, since it uses less digits than its factorization.
47623152200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2416 (or 1207 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 32.
Multiplying 47623152200 by its sum of digits (32), we get a square (1523940870400 = 12344802).
Adding to 47623152200 its reverse (225132674), we get a palindrome (47848284874).
The spelling of 47623152200 in words is "forty-seven billion, six hundred twenty-three million, one hundred fifty-two thousand, two hundred".
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