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4673286823764 = 22313221863105401
BaseRepresentation
bin100010000000001010110…
…0110011101111101010100
3121112202120101122010212110
41010000111212131331110
51103031342411330024
613534513415151020
7661430255404266
oct104002546357524
917482511563773
104673286823764
111541a25641609
1263586a375470
1327b8c5b1b400
1412228c945b36
1581869c87629
hex4401599df54

4673286823764 has 72 divisors (see below), whose sum is σ = 11808305796672. Its totient is φ = 1437854995200.

The previous prime is 4673286823757. The next prime is 4673286823769.

It is a happy number.

4673286823764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4673286823695 and 4673286823704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4673286823769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44285464 + ... + 44390864.

It is an arithmetic number, because the mean of its divisors is an integer number (164004247176).

Almost surely, 24673286823764 is an apocalyptic number.

It is an amenable number.

4673286823764 is an abundant number, since it is smaller than the sum of its proper divisors (7135018972908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4673286823764 is a wasteful number, since it uses less digits than its factorization.

4673286823764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127297 (or 127282 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 66.

The spelling of 4673286823764 in words is "four trillion, six hundred seventy-three billion, two hundred eighty-six million, eight hundred twenty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 21863 43726 65589 87452 105401 131178 210802 262356 284219 316203 421604 568438 632406 852657 1136876 1264812 1370213 1705314 2740426 3410628 3694847 4110639 5480852 7389694 8221278 11084541 14779388 16442556 17812769 22169082 35625538 44338164 53438307 71251076 106876614 213753228 2304382063 4608764126 6913146189 9217528252 13826292378 27652584756 29956966819 59913933638 89870900457 119827867276 179741800914 359483601828 389440568647 778881137294 1168321705941 1557762274588 2336643411882 4673286823764