Search a number
-
+
16049359744 = 271119315903
BaseRepresentation
bin11101111001001110…
…11100101110000000
31112102111200221122021
432330213130232000
5230332114002434
611212321251224
71105501210165
oct167447345600
945374627567
1016049359744
116896499580
12313aa93b14
13168a079092
14ac374006c
1563dee5cb4
hex3bc9dcb80

16049359744 has 64 divisors (see below), whose sum is σ = 34903975680. Its totient is φ = 7290150400.

The previous prime is 16049359709. The next prime is 16049359757. The reversal of 16049359744 is 44795394061.

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

It is a junction number, because it is equal to n+sod(n) for n = 16049359691 and 16049359700.

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, 2715897 + ... + 2721799.

It is an arithmetic number, because the mean of its divisors is an integer number (545374620).

Almost surely, 216049359744 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 16049359744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451987840).

16049359744 is an abundant number, since it is smaller than the sum of its proper divisors (18854615936).

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

16049359744 is a wasteful number, since it uses less digits than its factorization.

16049359744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 16049359744 in words is "sixteen billion, forty-nine million, three hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1931 3862 5903 7724 11806 15448 21241 23612 30896 42482 47224 61792 64933 84964 94448 123584 129866 169928 188896 247168 259732 339856 377792 519464 679712 755584 1038928 1359424 2077856 2718848 4155712 8311424 11398693 22797386 45594772 91189544 125385623 182379088 250771246 364758176 501542492 729516352 1003084984 1459032704 2006169968 4012339936 8024679872 16049359744