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16819412925 = 3527210742773
BaseRepresentation
bin11111010101000001…
…11101111110111101
31121102011200201000110
433222200331332331
5233421232203200
611420550220233
71133541436200
oct175240757675
947364621013
1016819412925
117151135967
123314954679
131780775253
14b57b11937
15686904b50
hex3ea83dfbd

16819412925 has 72 divisors (see below), whose sum is σ = 32651276256. Its totient is φ = 7616837760.

The previous prime is 16819412861. The next prime is 16819412947. The reversal of 16819412925 is 52921491861.

It is not a de Polignac number, because 16819412925 - 26 = 16819412861 is a prime.

It is a super-2 number, since 2×168194129252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371839 + ... + 414611.

It is an arithmetic number, because the mean of its divisors is an integer number (453489948).

Almost surely, 216819412925 is an apocalyptic number.

16819412925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16819412925 is a deficient number, since it is larger than the sum of its proper divisors (15831863331).

16819412925 is a wasteful number, since it uses less digits than its factorization.

16819412925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42907 (or 42895 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The spelling of 16819412925 in words is "sixteen billion, eight hundred nineteen million, four hundred twelve thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 107 147 175 245 321 525 535 735 749 1225 1605 2247 2675 3675 3745 5243 8025 11235 15729 18725 26215 42773 56175 78645 128319 131075 213865 299411 393225 641595 898233 1069325 1497055 2095877 3207975 4491165 4576711 6287631 7485275 10479385 13730133 22455825 22883555 31438155 32036977 52396925 68650665 96110931 114417775 157190775 160184885 224258839 343253325 480554655 672776517 800924425 1121294195 2402773275 3363882585 5606470975 16819412925