Search a number
-
+
2808034018272 = 253374143389677
BaseRepresentation
bin101000110111001011110…
…111101100001111100000
3100221110000201102000011000
4220313023313230033200
5332001323202041042
65545554254152000
7406605462222630
oct50671367541740
910843021360130
102808034018272
11992975aa83aa
12394270ab2600
13174a47b04ac2
1499ca3c166c0
154d09b78974c
hex28dcbdec3e0

2808034018272 has 768 divisors, whose sum is σ = 9851146905600. Its totient is φ = 761432555520.

The previous prime is 2808034018259. The next prime is 2808034018289. The reversal of 2808034018272 is 2728104308082.

2808034018272 is a `hidden beast` number, since 28 + 0 + 8 + 0 + 340 + 18 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4147760398 + ... + 4147761074.

It is an arithmetic number, because the mean of its divisors is an integer number (12827014200).

Almost surely, 22808034018272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808034018272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925573452800).

2808034018272 is an abundant number, since it is smaller than the sum of its proper divisors (7043112887328).

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

2808034018272 is a wasteful number, since it uses less digits than its factorization.

2808034018272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2808034018272 in words is "two trillion, eight hundred eight billion, thirty-four million, eighteen thousand, two hundred seventy-two".