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12784048460 = 2253124116223
BaseRepresentation
bin10111110011111110…
…10001100101001100
31012222221102221122022
423321333101211030
5202140204022320
65512314305312
7631541422211
oct137177214514
935887387568
1012784048460
115470297907
122589428238
131289720c21
14893bd3b08
154ec4e6325
hex2f9fd194c

12784048460 has 72 divisors (see below), whose sum is σ = 28418802048. Its totient is φ = 4827667200.

The previous prime is 12784048447. The next prime is 12784048463. The reversal of 12784048460 is 6484048721.

It is not an unprimeable number, because it can be changed into a prime (12784048463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779909 + ... + 796131.

It is an arithmetic number, because the mean of its divisors is an integer number (394705584).

Almost surely, 212784048460 is an apocalyptic number.

12784048460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12784048460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209401024).

12784048460 is an abundant number, since it is smaller than the sum of its proper divisors (15634753588).

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

12784048460 is a wasteful number, since it uses less digits than its factorization.

12784048460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16335 (or 16302 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 12784048460 in words is "twelve billion, seven hundred eighty-four million, forty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 961 1271 1922 2542 3844 4805 5084 6355 9610 12710 16223 19220 25420 32446 39401 64892 78802 81115 157604 162230 197005 324460 394010 502913 665143 788020 1005826 1330286 2011652 2514565 2660572 3325715 5029130 6651430 10058260 13302860 15590303 20619433 31180606 41238866 62361212 77951515 82477732 103097165 155903030 206194330 311806060 412388660 639202423 1278404846 2556809692 3196012115 6392024230 12784048460