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2009373821 = 72133154433
BaseRepresentation
bin111011111000100…
…1001110001111101
312012000222202200122
41313301021301331
513103344430241
6531215504325
7100536252500
oct16761116175
95160882618
102009373821
1194126a324
12480b280a5
132603a9bc0
14150c19137
15bb61504b
hex77c49c7d

2009373821 has 12 divisors (see below), whose sum is σ = 2517238332. Its totient is φ = 1589833728.

The previous prime is 2009373787. The next prime is 2009373829. The reversal of 2009373821 is 1283739002.

It can be written as a sum of positive squares in 2 ways, for example, as 843902500 + 1165471321 = 29050^2 + 34139^2 .

It is not a de Polignac number, because 2009373821 - 26 = 2009373757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009373829) 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, 1576580 + ... + 1577853.

It is an arithmetic number, because the mean of its divisors is an integer number (209769861).

Almost surely, 22009373821 is an apocalyptic number.

It is an amenable number.

2009373821 is a deficient number, since it is larger than the sum of its proper divisors (507864511).

2009373821 is a wasteful number, since it uses less digits than its factorization.

2009373821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154460 (or 3154453 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2009373821 is about 44826.0395417663. The cubic root of 2009373821 is about 1261.8863617377.

The spelling of 2009373821 in words is "two billion, nine million, three hundred seventy-three thousand, eight hundred twenty-one".

Divisors: 1 7 13 49 91 637 3154433 22081031 41007629 154567217 287053403 2009373821