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12417238764 = 223572260713
BaseRepresentation
bin10111001000010000…
…00000011011101100
31012001101020002100000
423210020000123230
5200412303120024
65412052304300
7616465534200
oct134410003354
935041202300
1012417238764
1152a22312a7
1224a6612090
13122b730778
1485b1ccb00
154ca1dbcc9
hex2e42006ec

12417238764 has 108 divisors (see below), whose sum is σ = 37865058504. Its totient is φ = 3547768896.

The previous prime is 12417238747. The next prime is 12417238807. The reversal of 12417238764 is 46783271421.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82729 + ... + 177984.

Almost surely, 212417238764 is an apocalyptic number.

12417238764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12417238764 is an abundant number, since it is smaller than the sum of its proper divisors (25447819740).

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

12417238764 is a wasteful number, since it uses less digits than its factorization.

12417238764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260746 (or 260725 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 12417238764 in words is "twelve billion, four hundred seventeen million, two hundred thirty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 5292 6804 7938 11907 15876 23814 47628 260713 521426 782139 1042852 1564278 1824991 2346417 3128556 3649982 4692834 5474973 7039251 7299964 9385668 10949946 12774937 14078502 16424919 21117753 21899892 25549874 28157004 32849838 38324811 42235506 49274757 51099748 63353259 65699676 76649622 84471012 98549514 114974433 126706518 147824271 153299244 197099028 229948866 253413036 295648542 344923299 443472813 459897732 591297084 689846598 886945626 1034769897 1379693196 1773891252 2069539794 3104309691 4139079588 6208619382 12417238764