Search a number
-
+
16328774896 = 247246145179
BaseRepresentation
bin11110011010100010…
…10101010011110000
31120010222110201011121
433031101111103300
5231420131244041
611300142152024
71115433203500
oct171521252360
946128421147
1016328774896
116a1a193295
1231b8582614
131702c1a4a5
14b0c8b5a00
156587da7d1
hex3cd4554f0

16328774896 has 60 divisors (see below), whose sum is σ = 36882873720. Its totient is φ = 6982711680.

The previous prime is 16328774867. The next prime is 16328774897. The reversal of 16328774896 is 69847782361.

It is a happy number.

16328774896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16328774897) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 338835 + ... + 384013.

It is an arithmetic number, because the mean of its divisors is an integer number (614714562).

Almost surely, 216328774896 is an apocalyptic number.

16328774896 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 16328774896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441436860).

16328774896 is an abundant number, since it is smaller than the sum of its proper divisors (20554098824).

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

16328774896 is a wasteful number, since it uses less digits than its factorization.

16328774896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45662 (or 45649 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 61.

The spelling of 16328774896 in words is "sixteen billion, three hundred twenty-eight million, seven hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 461 784 922 1844 3227 3688 6454 7376 12908 22589 25816 45178 45179 51632 90356 90358 180712 180716 316253 361424 361432 632506 722864 1265012 2213771 2530024 4427542 5060048 8855084 17710168 20827519 35420336 41655038 83310076 145792633 166620152 291585266 333240304 583170532 1020548431 1166341064 2041096862 2332682128 4082193724 8164387448 16328774896