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2005604016 = 243133214109
BaseRepresentation
bin111011110001011…
…0001011010110000
312011202220020111020
41313202301122300
513101413312031
6531003015440
7100462232013
oct16742613260
95152806436
102005604016
1193a124a89
1247b80a580
1325c68a050
1415051737a
15bb11d096
hex778b16b0

2005604016 has 40 divisors (see below), whose sum is σ = 5579694960. Its totient is φ = 617108736.

The previous prime is 2005604009. The next prime is 2005604021. The reversal of 2005604016 is 6104065002.

2005604016 is digitally balanced in base 4, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606431 + ... + 1607678.

It is an arithmetic number, because the mean of its divisors is an integer number (139492374).

Almost surely, 22005604016 is an apocalyptic number.

2005604016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2005604016 is an abundant number, since it is smaller than the sum of its proper divisors (3574090944).

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

2005604016 is a wasteful number, since it uses less digits than its factorization.

2005604016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214133 (or 3214127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2005604016 is about 44783.9705251779. The cubic root of 2005604016 is about 1261.0967221171.

Adding to 2005604016 its reverse (6104065002), we get a palindrome (8109669018).

The spelling of 2005604016 in words is "two billion, five million, six hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3214109 6428218 9642327 12856436 19284654 25712872 38569308 41783417 51425744 77138616 83566834 125350251 154277232 167133668 250700502 334267336 501401004 668534672 1002802008 2005604016