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2004051005 = 511218118301
BaseRepresentation
bin111011101110011…
…0110010000111101
312011122222100011022
41313130312100331
513101014113010
6530505433525
7100443103205
oct16734662075
95148870138
102004051005
11939264200
1247b19b8a5
1325c2651c8
14150231405
15bae12d55
hex7773643d

2004051005 has 24 divisors (see below), whose sum is σ = 2658109272. Its totient is φ = 1449360000.

The previous prime is 2004050981. The next prime is 2004051059. The reversal of 2004051005 is 5001504002.

It can be written as a sum of positive squares in 4 ways, for example, as 240219001 + 1763832004 = 15499^2 + 41998^2 .

It is not a de Polignac number, because 2004051005 - 214 = 2004034621 is a prime.

It is a Duffinian number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 100355 + ... + 118655.

It is an arithmetic number, because the mean of its divisors is an integer number (110754553).

Almost surely, 22004051005 is an apocalyptic number.

It is an amenable number.

2004051005 is a deficient number, since it is larger than the sum of its proper divisors (654058267).

2004051005 is a wasteful number, since it uses less digits than its factorization.

2004051005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18509 (or 18498 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2004051005 is about 44766.6282514107. The cubic root of 2004051005 is about 1260.7711339493.

Adding to 2004051005 its reverse (5001504002), we get a palindrome (7005555007).

The spelling of 2004051005 in words is "two billion, four million, fifty-one thousand, five".

Divisors: 1 5 11 55 121 181 605 905 1991 9955 18301 21901 91505 109505 201311 1006555 2214421 3312481 11072105 16562405 36437291 182186455 400810201 2004051005