Search a number
-
+
16044300306 = 2323794125601
BaseRepresentation
bin11101111000101000…
…01001100000010010
31112102011011220101200
432330110021200102
5230324320102211
611212021012030
71105410205506
oct167424114022
945364156350
1016044300306
116893653321
123139254016
131688cc7228
14ac2bc4306
1563d846b56
hex3bc509812

16044300306 has 48 divisors (see below), whose sum is σ = 35741518488. Its totient is φ = 5197824000.

The previous prime is 16044300281. The next prime is 16044300329. The reversal of 16044300306 is 60300344061.

16044300306 is a `hidden beast` number, since 16 + 0 + 44 + 300 + 306 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14802372225 + 1241928081 = 121665^2 + 35241^2 .

It is a super-2 number, since 2×160443003062 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16044300306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613906 + ... + 639506.

Almost surely, 216044300306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16044300306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870759244).

16044300306 is an abundant number, since it is smaller than the sum of its proper divisors (19697218182).

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

16044300306 is a wasteful number, since it uses less digits than its factorization.

16044300306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26587 (or 26584 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 16044300306 its reverse (60300344061), we get a palindrome (76344644367).

The spelling of 16044300306 in words is "sixteen billion, forty-four million, three hundred thousand, three hundred six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 941 1882 2823 5646 8469 16938 25601 34817 51202 69634 76803 104451 153606 208902 230409 313353 460818 626706 947237 1894474 2841711 5683422 8525133 17050266 24090541 48181082 72271623 144543246 216814869 433629738 891350017 1782700034 2674050051 5348100102 8022150153 16044300306