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14735263216 = 2459149104761
BaseRepresentation
bin11011011100100101…
…00100010111110000
31102000220222221002111
431232102210113300
5220134211410331
610434055455104
71031103446032
oct155622442760
942026887074
1014735263216
116281743393
122a32987494
13150aa46a7b
149dadcdc52
155b396ddb1
hex36e4a45f0

14735263216 has 40 divisors (see below), whose sum is σ = 29228598000. Its totient is φ = 7194078720.

The previous prime is 14735263189. The next prime is 14735263217. The reversal of 14735263216 is 61236253741.

It is a happy number.

14735263216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14735263217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88276 + ... + 193036.

It is an arithmetic number, because the mean of its divisors is an integer number (730714950).

Almost surely, 214735263216 is an apocalyptic number.

14735263216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14735263216 is a deficient number, since it is larger than the sum of its proper divisors (14493334784).

14735263216 is a wasteful number, since it uses less digits than its factorization.

14735263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104977 (or 104971 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The spelling of 14735263216 in words is "fourteen billion, seven hundred thirty-five million, two hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 59 118 149 236 298 472 596 944 1192 2384 8791 17582 35164 70328 104761 140656 209522 419044 838088 1676176 6180899 12361798 15609389 24723596 31218778 49447192 62437556 98894384 124875112 249750224 920953951 1841907902 3683815804 7367631608 14735263216