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20414582118 = 2377666751
BaseRepresentation
bin10011000000110011…
…011100110101100110
31221200201122020000000
4103000303130311212
5313302113111433
613213415202130
71321615041060
oct230063346546
957621566000
1020414582118
118726554777
123b58976346
131c045535b8
14db93a4730
157e7360113
hex4c0cdcd66

20414582118 has 64 divisors (see below), whose sum is σ = 52486717440. Its totient is φ = 5832729000.

The previous prime is 20414582087. The next prime is 20414582183. The reversal of 20414582118 is 81128541402.

20414582118 is a `hidden beast` number, since 20 + 41 + 4 + 582 + 1 + 18 = 666.

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 31 ways as a sum of consecutive naturals, for example, 302758 + ... + 363993.

It is an arithmetic number, because the mean of its divisors is an integer number (820104960).

Almost surely, 220414582118 is an apocalyptic number.

20414582118 is an abundant number, since it is smaller than the sum of its proper divisors (32072135322).

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

20414582118 is an frugal number, since it uses more digits than its factorization.

20414582118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666781 (or 666763 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20414582118 in words is "twenty billion, four hundred fourteen million, five hundred eighty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 10206 15309 30618 666751 1333502 2000253 4000506 4667257 6000759 9334514 12001518 14001771 18002277 28003542 36004554 42005313 54006831 84010626 108013662 126015939 162020493 252031878 324040986 378047817 486061479 756095634 972122958 1134143451 1458184437 2268286902 2916368874 3402430353 6804860706 10207291059 20414582118