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2003796641 = 72118941771
BaseRepresentation
bin111011101101111…
…1000001010100001
312011122111102020102
41313123320022201
513100432443031
6530500152145
7100440663500
oct16733701241
95148442212
102003796641
11939100090
1247b098655
1325c1a64b2
141501a6837
15badb27cb
hex776f82a1

2003796641 has 24 divisors (see below), whose sum is σ = 2571484320. Its totient is φ = 1543819200.

The previous prime is 2003796629. The next prime is 2003796643. The reversal of 2003796641 is 1466973002.

It is not a de Polignac number, because 2003796641 - 210 = 2003795617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003796595 and 2003796604.

It is not an unprimeable number, because it can be changed into a prime (2003796643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27086 + ... + 68856.

It is an arithmetic number, because the mean of its divisors is an integer number (107145180).

Almost surely, 22003796641 is an apocalyptic number.

It is an amenable number.

2003796641 is a deficient number, since it is larger than the sum of its proper divisors (567687679).

2003796641 is a wasteful number, since it uses less digits than its factorization.

2003796641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41885 (or 41878 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 2003796641 is about 44763.7871610524. The cubic root of 2003796641 is about 1260.7177906034.

The spelling of 2003796641 in words is "two billion, three million, seven hundred ninety-six thousand, six hundred forty-one".

Divisors: 1 7 11 49 77 89 539 623 979 4361 6853 41771 47971 292397 459481 2046779 3216367 3717619 22514569 26023333 40893809 182163331 286256663 2003796641