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14614705984 = 26619738593
BaseRepresentation
bin11011001110001101…
…01011011101000000
31101201112010222122211
431213012223131000
5214412331042414
610414111511504
71025110644154
oct154706533500
941645128584
1014614705984
11621a690a0a
1229ba528594
1314bba86328
149c8dab064
155a80a83c4
hex3671ab740

14614705984 has 56 divisors (see below), whose sum is σ = 29781137288. Its totient is φ = 7113277440.

The previous prime is 14614705909. The next prime is 14614705997. The reversal of 14614705984 is 48950741641.

14614705984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 386987584 + 14227718400 = 19672^2 + 119280^2 .

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 7 ways as a sum of consecutive naturals, for example, 359392 + ... + 397984.

It is an arithmetic number, because the mean of its divisors is an integer number (531806023).

Almost surely, 214614705984 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 14614705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14890568644).

14614705984 is an abundant number, since it is smaller than the sum of its proper divisors (15166431304).

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

14614705984 is an equidigital number, since it uses as much as digits as its factorization.

14614705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38763 (or 38753 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 14614705984 in words is "fourteen billion, six hundred fourteen million, seven hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 64 97 122 194 244 388 488 776 976 1552 1952 3104 3904 5917 6208 11834 23668 38593 47336 77186 94672 154372 189344 308744 378688 617488 1234976 2354173 2469952 3743521 4708346 7487042 9416692 14974084 18833384 29948168 37666768 59896336 75333536 119792672 150667072 228354781 239585344 456709562 913419124 1826838248 3653676496 7307352992 14614705984