Search a number
-
+
16382441472 = 211323115931
BaseRepresentation
bin11110100000111100…
…00011100000000000
31120021201110020212120
433100132003200000
5232022401111342
611305340324240
71116654312015
oct172036034000
946251406776
1016382441472
116a47508831
123212543680
13171108a767
14b15a8570c
1565d38baec
hex3d0783800

16382441472 has 96 divisors (see below), whose sum is σ = 45575187840. Its totient is φ = 5223342080.

The previous prime is 16382441437. The next prime is 16382441501. The reversal of 16382441472 is 27414428361.

It is a tau number, because it is divible by the number of its divisors (96).

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, 83347 + ... + 199277.

It is an arithmetic number, because the mean of its divisors is an integer number (474741540).

Almost surely, 216382441472 is an apocalyptic number.

16382441472 is a gapful number since it is divisible by the number (12) 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 16382441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787593920).

16382441472 is an abundant number, since it is smaller than the sum of its proper divisors (29192746368).

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

16382441472 is a wasteful number, since it uses less digits than its factorization.

16382441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115979 (or 115959 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 16382441472 in words is "sixteen billion, three hundred eighty-two million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 35328 47104 70656 115931 141312 231862 347793 463724 695586 927448 1391172 1854896 2666413 2782344 3709792 5332826 5564688 7419584 7999239 10665652 11129376 14839168 15998478 21331304 22258752 29678336 31996956 42662608 44517504 59356672 63993912 85325216 89035008 118713344 127987824 170650432 178070016 237426688 255975648 341300864 356140032 511951296 682601728 712280064 1023902592 1365203456 2047805184 2730406912 4095610368 5460813824 8191220736 16382441472