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12648357904 = 2471337922921
BaseRepresentation
bin10111100011110011…
…01010000000010000
31012122111010011012011
423301321222000100
5201400434423104
65451030112304
7625303161010
oct136171520020
935574104164
1012648357904
115400739556
12254baab694
131267592260
1487db91c40
154e0641904
hex2f1e6a010

12648357904 has 80 divisors (see below), whose sum is σ = 30242369920. Its totient is φ = 4990325760.

The previous prime is 12648357899. The next prime is 12648357913. The reversal of 12648357904 is 40975384621.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540364 + ... + 563284.

It is an arithmetic number, because the mean of its divisors is an integer number (378029624).

It is a 1-persistent number, because it is pandigital, but 2⋅12648357904 = 25296715808 is not.

Almost surely, 212648357904 is an apocalyptic number.

12648357904 is a gapful number since it is divisible by the number (14) 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 12648357904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121184960).

12648357904 is an abundant number, since it is smaller than the sum of its proper divisors (17594012016).

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

12648357904 is a wasteful number, since it uses less digits than its factorization.

12648357904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23328 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 12648357904 in words is "twelve billion, six hundred forty-eight million, three hundred fifty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 379 728 758 1456 1516 2653 3032 4927 5306 6064 9854 10612 19708 21224 22921 34489 39416 42448 45842 68978 78832 91684 137956 160447 183368 275912 297973 320894 366736 551824 595946 641788 1191892 1283576 2085811 2383784 2567152 4171622 4767568 8343244 8687059 16686488 17374118 33372976 34748236 60809413 69496472 112931767 121618826 138992944 225863534 243237652 451727068 486475304 790522369 903454136 972950608 1581044738 1806908272 3162089476 6324178952 12648357904