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2009945493 = 321971133641
BaseRepresentation
bin111011111001101…
…0101010110010101
312012002001210212200
41313303111112111
513104021223433
6531240035113
7100544153253
oct16763252625
95162053780
102009945493
1194161a886
12481162a99
1326054a17a
14150d275d3
15bb6c9613
hex77cd5595

2009945493 has 12 divisors (see below), whose sum is σ = 2917994508. Its totient is φ = 1333160640.

The previous prime is 2009945491. The next prime is 2009945521. The reversal of 2009945493 is 3945499002.

It is a happy number.

2009945493 is a `hidden beast` number, since 20 + 0 + 99 + 454 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1872985284 + 136960209 = 43278^2 + 11703^2 .

It is not a de Polignac number, because 2009945493 - 21 = 2009945491 is a prime.

It is a super-3 number, since 3×20099454933 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009945491) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 565048 + ... + 568593.

It is an arithmetic number, because the mean of its divisors is an integer number (243166209).

Almost surely, 22009945493 is an apocalyptic number.

It is an amenable number.

2009945493 is a deficient number, since it is larger than the sum of its proper divisors (908049015).

2009945493 is a wasteful number, since it uses less digits than its factorization.

2009945493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133844 (or 1133841 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2009945493 is about 44832.4156498398. The cubic root of 2009945493 is about 1262.0060203583.

The spelling of 2009945493 in words is "two billion, nine million, nine hundred forty-five thousand, four hundred ninety-three".

Divisors: 1 3 9 197 591 1773 1133641 3400923 10202769 223327277 669981831 2009945493