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2009044296 = 23357323131
BaseRepresentation
bin111011110111111…
…1001010101001000
312012000101000200000
41313233321111020
513103303404141
6531204443000
7100533411000
oct16757712510
95160330600
102009044296
11941064796
124809a9460
132602c2c0c
14150b71000
15bb59c5b6
hex77bf9548

2009044296 has 384 divisors, whose sum is σ = 6918912000. Its totient is φ = 544864320.

The previous prime is 2009044283. The next prime is 2009044327. The reversal of 2009044296 is 6924409002.

2009044296 is a `hidden beast` number, since 200 + 9 + 0 + 442 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2009044296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15336151 + ... + 15336281.

It is an arithmetic number, because the mean of its divisors is an integer number (18018000).

Almost surely, 22009044296 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 2009044296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456000).

2009044296 is an abundant number, since it is smaller than the sum of its proper divisors (4909867704).

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

2009044296 is a wasteful number, since it uses less digits than its factorization.

2009044296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2009044296 is about 44822.3637930888. The cubic root of 2009044296 is about 1261.8173774217.

The spelling of 2009044296 in words is "two billion, nine million, forty-four thousand, two hundred ninety-six".