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14246886816 = 2532175928123
BaseRepresentation
bin11010100010010111…
…00011110110100000
31100202220000211121200
431101023203312200
5213134200334231
610313412121200
71013023353111
oct152113436640
940686024550
1014246886816
116050aa5a28
122917306200
131460801556
149921c2208
15585b4ebe6
hex3512e3da0

14246886816 has 72 divisors (see below), whose sum is σ = 40539058560. Its totient is φ = 4746093696.

The previous prime is 14246886779. The next prime is 14246886817. The reversal of 14246886816 is 61868864241.

It is a happy number.

14246886816 is a `hidden beast` number, since 1 + 424 + 68 + 86 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14246886817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492531 + ... + 520653.

It is an arithmetic number, because the mean of its divisors is an integer number (563042480).

Almost surely, 214246886816 is an apocalyptic number.

14246886816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14246886816 is an abundant number, since it is smaller than the sum of its proper divisors (26292171744).

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

14246886816 is a wasteful number, since it uses less digits than its factorization.

14246886816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29898 (or 29887 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 14246886816 in words is "fourteen billion, two hundred forty-six million, eight hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1759 3518 5277 7036 10554 14072 15831 21108 28123 28144 31662 42216 56246 56288 63324 84369 84432 112492 126648 168738 168864 224984 253107 253296 337476 449968 506214 506592 674952 899936 1012428 1349904 2024856 2699808 4049712 8099424 49468357 98936714 148405071 197873428 296810142 395746856 445215213 593620284 791493712 890430426 1187240568 1582987424 1780860852 2374481136 3561721704 4748962272 7123443408 14246886816