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8478104112 = 243413149937
BaseRepresentation
bin1111110010101010…
…11001101000110000
3210212212001022110000
413321111121220300
5114330343312422
63521135110000
7420044460462
oct77125315060
923785038400
108478104112
11366073a115
121787372300
13a515ccb6a
145a5da0132
1534948acac
hex1f9559a30

8478104112 has 100 divisors (see below), whose sum is σ = 24725901816. Its totient is φ = 2804405760.

The previous prime is 8478104111. The next prime is 8478104147. The reversal of 8478104112 is 2114018748.

It is a super-2 number, since 2×84781041122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8478104111) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 144808 + ... + 194744.

Almost surely, 28478104112 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 8478104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362950908).

8478104112 is an abundant number, since it is smaller than the sum of its proper divisors (16247797704).

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

8478104112 is a wasteful number, since it uses less digits than its factorization.

8478104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50088 (or 50073 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8478104112 is about 92076.6208763115. The cubic root of 8478104112 is about 2039.0736624708.

The spelling of 8478104112 in words is "eight billion, four hundred seventy-eight million, one hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1572 2096 2358 3144 3537 4716 6288 7074 9432 10611 14148 18864 21222 28296 42444 49937 56592 84888 99874 149811 169776 199748 299622 399496 449433 599244 798992 898866 1198488 1348299 1797732 2396976 2696598 3595464 4044897 5393196 6541747 7190928 8089794 10786392 13083494 16179588 19625241 21572784 26166988 32359176 39250482 52333976 58875723 64718352 78500964 104667952 117751446 157001928 176627169 235502892 314003856 353254338 471005784 529881507 706508676 942011568 1059763014 1413017352 2119526028 2826034704 4239052056 8478104112