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14448891776 = 271126339019
BaseRepresentation
bin11010111010011100…
…01001011110000000
31101021222010202022212
431131032021132000
5214042404014101
610345425521252
71021025360624
oct153516113600
941258122285
1014448891776
116145028280
122972aa3228
13149360b307
149b0d67184
155987531bb
hex35d389780

14448891776 has 64 divisors (see below), whose sum is σ = 31521916800. Its totient is φ = 6542538240.

The previous prime is 14448891761. The next prime is 14448891797. The reversal of 14448891776 is 67719884441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350795 + ... + 389813.

It is an arithmetic number, because the mean of its divisors is an integer number (492529950).

Almost surely, 214448891776 is an apocalyptic number.

14448891776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14448891776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760958400).

14448891776 is an abundant number, since it is smaller than the sum of its proper divisors (17073025024).

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

14448891776 is a wasteful number, since it uses less digits than its factorization.

14448891776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39307 (or 39295 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 59.

The spelling of 14448891776 in words is "fourteen billion, four hundred forty-eight million, eight hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 263 352 526 704 1052 1408 2104 2893 4208 5786 8416 11572 16832 23144 33664 39019 46288 78038 92576 156076 185152 312152 370304 429209 624304 858418 1248608 1716836 2497216 3433672 4994432 6867344 10261997 13734688 20523994 27469376 41047988 54938752 82095976 112881967 164191952 225763934 328383904 451527868 656767808 903055736 1313535616 1806111472 3612222944 7224445888 14448891776