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12663648 = 253314657
BaseRepresentation
bin110000010011…
…101101100000
3212211101021000
4300103231200
511220214043
61131232000
7212432154
oct60235540
925741230
1012663648
11716a428
1242a8600
1328150aa
141979064
1511a22d3
hexc13b60

12663648 has 48 divisors (see below), whose sum is σ = 36938160. Its totient is φ = 4220928.

The previous prime is 12663619. The next prime is 12663653. The reversal of 12663648 is 84636621.

12663648 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6465 + ... + 8192.

It is an arithmetic number, because the mean of its divisors is an integer number (769545).

Almost surely, 212663648 is an apocalyptic number.

12663648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12663648 is an abundant number, since it is smaller than the sum of its proper divisors (24274512).

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

12663648 is a wasteful number, since it uses less digits than its factorization.

12663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14676 (or 14662 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12663648 is about 3558.6019726853. The cubic root of 12663648 is about 233.0878361265.

The spelling of 12663648 in words is "twelve million, six hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14657 29314 43971 58628 87942 117256 131913 175884 234512 263826 351768 395739 469024 527652 703536 791478 1055304 1407072 1582956 2110608 3165912 4221216 6331824 12663648