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16459863616 = 2672292792
BaseRepresentation
bin11110101010001010…
…11001011001000000
31120111010010201002101
433111011121121000
5232202211113431
611321144000144
71121614350400
oct172505313100
946433121071
1016459863616
116a87189179
123234460054
131724127691
14b2207a800
15665081961
hex3d5159640

16459863616 has 189 divisors, whose sum is σ = 39854973249. Its totient is φ = 6724763136.

The previous prime is 16459863577. The next prime is 16459863619. The reversal of 16459863616 is 61636895461.

The square root of 16459863616 is 128296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8631153216 + 7828710400 = 92904^2 + 88480^2 .

It is a super-2 number, since 2×164598636162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16459863619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208352665 + ... + 208352743.

Almost surely, 216459863616 is an apocalyptic number.

16459863616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16459863616 is the 128296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16459863616

16459863616 is an abundant number, since it is smaller than the sum of its proper divisors (23395109633).

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

16459863616 is an frugal number, since it uses more digits than its factorization.

16459863616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 117 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The spelling of 16459863616 in words is "sixteen billion, four hundred fifty-nine million, eight hundred sixty-three thousand, six hundred sixteen".