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14874285472 = 2523139347419
BaseRepresentation
bin11011101101001001…
…11001010110100000
31102101121120222202221
431312210321112200
5220430304113342
610455543320424
71034412224524
oct156644712640
942347528687
1014874285472
116343167912
122a71450114
1315307a1067
14a1165bd84
155c0c80a67
hex3769395a0

14874285472 has 96 divisors (see below), whose sum is σ = 30939148800. Its totient is φ = 7025449728.

The previous prime is 14874285463. The next prime is 14874285521. The reversal of 14874285472 is 27458247841.

14874285472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35499279 + ... + 35499697.

It is an arithmetic number, because the mean of its divisors is an integer number (322282800).

Almost surely, 214874285472 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 14874285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469574400).

14874285472 is an abundant number, since it is smaller than the sum of its proper divisors (16064863328).

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

14874285472 is a wasteful number, since it uses less digits than its factorization.

14874285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 52.

The spelling of 14874285472 in words is "fourteen billion, eight hundred seventy-four million, two hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 139 184 278 347 368 419 556 694 736 838 1112 1388 1676 2224 2776 3197 3352 4448 5552 6394 6704 7981 9637 11104 12788 13408 15962 19274 25576 31924 38548 48233 51152 58241 63848 77096 96466 102304 116482 127696 145393 154192 192932 232964 255392 290786 308384 385864 465928 581572 771728 931856 1109359 1163144 1339543 1543456 1863712 2218718 2326288 2679086 3344039 4437436 4652576 5358172 6688078 8874872 10716344 13376156 17749744 20209627 21432688 26752312 35499488 40419254 42865376 53504624 80838508 107009248 161677016 323354032 464821421 646708064 929642842 1859285684 3718571368 7437142736 14874285472