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14428719684 = 22327113014339
BaseRepresentation
bin11010111000000010…
…01100101001000100
31101020120011220102100
431130001030221010
5214022223012214
610343425312100
71020362044101
oct153401145104
941216156370
1014428719684
1161346aa725
122968195630
13148c397772
149ac3d5aa8
15596abb309
hex35c04ca44

14428719684 has 72 divisors (see below), whose sum is σ = 37023255360. Its totient is φ = 4737096000.

The previous prime is 14428719593. The next prime is 14428719691. The reversal of 14428719684 is 48691782441.

14428719684 is a `hidden beast` number, since 1 + 442 + 8 + 7 + 196 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14428719684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3323187 + ... + 3327525.

It is an arithmetic number, because the mean of its divisors is an integer number (514211880).

Almost surely, 214428719684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14428719684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511627680).

14428719684 is an abundant number, since it is smaller than the sum of its proper divisors (22594535676).

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

14428719684 is a wasteful number, since it uses less digits than its factorization.

14428719684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721 (or 5716 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14428719684 in words is "fourteen billion, four hundred twenty-eight million, seven hundred nineteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1301 2556 2602 3903 4339 5204 7806 8678 11709 13017 15612 17356 23418 26034 39051 46836 52068 78102 92371 156204 184742 277113 308069 369484 554226 616138 831339 924207 1108452 1232276 1662678 1848414 2772621 3325356 3696828 5545242 5645039 11090484 11290078 16935117 22580156 33870234 50805351 67740468 101610702 203221404 400797769 801595538 1202393307 1603191076 2404786614 3607179921 4809573228 7214359842 14428719684