Search a number
-
+
16008800016 = 2431130319697
BaseRepresentation
bin11101110100011001…
…01110011100010000
31112022200101022011010
432322030232130100
5230241223100031
611204312050520
71104466361226
oct167214563420
945280338133
1016008800016
116875606440
123129393a40
131681847841
14abc1c2b16
1563a683246
hex3ba32e710

16008800016 has 40 divisors (see below), whose sum is σ = 45115710624. Its totient is φ = 4851151360.

The previous prime is 16008799991. The next prime is 16008800033. The reversal of 16008800016 is 61000880061.

16008800016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15159321 + ... + 15160376.

Almost surely, 216008800016 is an apocalyptic number.

16008800016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16008800016 is an abundant number, since it is smaller than the sum of its proper divisors (29106910608).

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

16008800016 is a wasteful number, since it uses less digits than its factorization.

16008800016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30319719 (or 30319713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 16008800016 in words is "sixteen billion, eight million, eight hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 30319697 60639394 90959091 121278788 181918182 242557576 333516667 363836364 485115152 667033334 727672728 1000550001 1334066668 1455345456 2001100002 2668133336 4002200004 5336266672 8004400008 16008800016