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14427096192 = 27334174507
BaseRepresentation
bin11010110111110110…
…00000010010000000
31101020110010102102000
431123323000102000
5214021314034232
610343330424000
71020342202635
oct153373002200
941213112360
1014427096192
1161337a09a3
122967732000
13148bc49812
149ac0d218c
1559689a27c
hex35bec0480

14427096192 has 64 divisors (see below), whose sum is σ = 42579981600. Its totient is φ = 4809030912.

The previous prime is 14427096181. The next prime is 14427096193. The reversal of 14427096192 is 29169072441.

14427096192 is a `hidden beast` number, since 1 + 4 + 4 + 27 + 0 + 9 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×144270961922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14427096193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083798 + ... + 2090709.

Almost surely, 214427096192 is an apocalyptic number.

14427096192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14427096192 is an abundant number, since it is smaller than the sum of its proper divisors (28152885408).

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

14427096192 is an equidigital number, since it uses as much as digits as its factorization.

14427096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174530 (or 4174512 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14427096192 in words is "fourteen billion, four hundred twenty-seven million, ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4174507 8349014 12523521 16698028 25047042 33396056 37570563 50094084 66792112 75141126 100188168 112711689 133584224 150282252 200376336 225423378 267168448 300564504 400752672 450846756 534336896 601129008 801505344 901693512 1202258016 1603010688 1803387024 2404516032 3606774048 4809032064 7213548096 14427096192