Search a number
-
+
16366662144 = 29337179949
BaseRepresentation
bin11110011111000011…
…10111001000000000
31120020121202120201000
433033201313020000
5232004331142034
611304014212000
71116403222110
oct171741671000
946217676630
1016366662144
116a39610568
1232091b4000
13170aa24491
14b13939040
1565bcc1599
hex3cf877200

16366662144 has 320 divisors, whose sum is σ = 58630176000. Its totient is φ = 4400676864.

The previous prime is 16366662061. The next prime is 16366662173. The reversal of 16366662144 is 44126666361.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16366662144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1640082 + ... + 1650030.

It is an arithmetic number, because the mean of its divisors is an integer number (183219300).

Almost surely, 216366662144 is an apocalyptic number.

16366662144 is a gapful number since it is divisible by the number (14) 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 16366662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315088000).

16366662144 is an abundant number, since it is smaller than the sum of its proper divisors (42263513856).

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

16366662144 is an equidigital number, since it uses as much as digits as its factorization.

16366662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000 (or 9978 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 16366662144 in words is "sixteen billion, three hundred sixty-six million, six hundred sixty-two thousand, one hundred forty-four".