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3001666503 = 311714632767
BaseRepresentation
bin1011001011101001…
…1100101111000111
321202012011110100110
42302322130233013
522121411312003
61213504044103
7134245513203
oct26272345707
97665143313
103001666503
1113003a9520
126b9303633
1338ab48c34
1420691bb03
151287c2a03
hexb2e9cbc7

3001666503 has 32 divisors (see below), whose sum is σ = 4438720512. Its totient is φ = 1789048800.

The previous prime is 3001666483. The next prime is 3001666513. The reversal of 3001666503 is 3056661003.

It is not a de Polignac number, because 3001666503 - 228 = 2733231047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001666513) 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 31 ways as a sum of consecutive naturals, for example, 1083426 + ... + 1086192.

It is an arithmetic number, because the mean of its divisors is an integer number (138710016).

Almost surely, 23001666503 is an apocalyptic number.

3001666503 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3001666503 is a deficient number, since it is larger than the sum of its proper divisors (1437054009).

3001666503 is a wasteful number, since it uses less digits than its factorization.

3001666503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3001666503 is about 54787.4666598119. The cubic root of 3001666503 is about 1442.5165778987.

The spelling of 3001666503 in words is "three billion, one million, six hundred sixty-six thousand, five hundred three".

Divisors: 1 3 11 33 71 213 463 781 1389 2343 2767 5093 8301 15279 30437 32873 91311 98619 196457 361603 589371 1084809 1281121 2161027 3843363 6483081 14092331 42276993 90959591 272878773 1000555501 3001666503