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16716144432 = 2431378734039
BaseRepresentation
bin11111001000101110…
…00001111100110000
31121010222101010021110
433210113001330300
5233213313110212
611402420553320
71131145611651
oct174427017460
947128333243
1016716144432
1170a89117a9
1232a6252840
131765258b30
14b4810d528
1567c806a3c
hex3e45c1f30

16716144432 has 80 divisors (see below), whose sum is σ = 46565630720. Its totient is φ = 5136742656.

The previous prime is 16716144427. The next prime is 16716144433. The reversal of 16716144432 is 23444161761.

16716144432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16716144433) 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 15 ways as a sum of consecutive naturals, for example, 474069 + ... + 508107.

It is an arithmetic number, because the mean of its divisors is an integer number (582070384).

Almost surely, 216716144432 is an apocalyptic number.

16716144432 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 16716144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282815360).

16716144432 is an abundant number, since it is smaller than the sum of its proper divisors (29849486288).

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

16716144432 is a wasteful number, since it uses less digits than its factorization.

16716144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34850 (or 34844 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The spelling of 16716144432 in words is "sixteen billion, seven hundred sixteen million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 787 1574 2361 3148 4722 6296 9444 10231 12592 18888 20462 30693 34039 37776 40924 61386 68078 81848 102117 122772 136156 163696 204234 245544 272312 408468 442507 491088 544624 816936 885014 1327521 1633872 1770028 2655042 3540056 5310084 7080112 10620168 21240336 26788693 53577386 80366079 107154772 160732158 214309544 321464316 348253009 428619088 642928632 696506018 1044759027 1285857264 1393012036 2089518054 2786024072 4179036108 5572048144 8358072216 16716144432