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14416225752 = 2332343607357
BaseRepresentation
bin11010110110100011…
…00010010111011000
31101012200200010222010
431123101202113120
5214011023211002
610342301425520
71020150616455
oct153321422730
941180603863
1014416225752
116128646865
122963b6b2a0
1314899119c6
149aa8a282c
1559594e46c
hex35b4625d8

14416225752 has 64 divisors (see below), whose sum is σ = 38482202880. Its totient is φ = 4489575552.

The previous prime is 14416225739. The next prime is 14416225781. The reversal of 14416225752 is 25752261441.

14416225752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14416225752.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279943 + ... + 327414.

It is an arithmetic number, because the mean of its divisors is an integer number (601284420).

Almost surely, 214416225752 is an apocalyptic number.

14416225752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14416225752 is an abundant number, since it is smaller than the sum of its proper divisors (24065977128).

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

14416225752 is a wasteful number, since it uses less digits than its factorization.

14416225752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607432 (or 607428 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The spelling of 14416225752 in words is "fourteen billion, four hundred sixteen million, two hundred twenty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 23736 607357 1214714 1822071 2429428 3644142 4858856 7288284 13969211 14576568 26116351 27938422 41907633 52232702 55876844 78349053 83815266 104465404 111753688 156698106 167630532 208930808 313396212 335261064 600676073 626792424 1201352146 1802028219 2402704292 3604056438 4805408584 7208112876 14416225752