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5006566557 = 331931833793
BaseRepresentation
bin1001010100110101…
…00010010010011101
3110220220201221012000
410222122202102131
540223140112212
62144444032513
7235032053646
oct45232422235
913826657160
105006566557
11213a092613
12b78832739
1361a31a725
14356cd06cd
151e48021dc
hex12a6a249d

5006566557 has 64 divisors (see below), whose sum is σ = 8158617600. Its totient is φ = 3022375680.

The previous prime is 5006566553. The next prime is 5006566597. The reversal of 5006566557 is 7556656005.

It is not a de Polignac number, because 5006566557 - 22 = 5006566553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006566553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1318053 + ... + 1321845.

It is an arithmetic number, because the mean of its divisors is an integer number (127478400).

Almost surely, 25006566557 is an apocalyptic number.

5006566557 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5006566557 is a deficient number, since it is larger than the sum of its proper divisors (3152051043).

5006566557 is a wasteful number, since it uses less digits than its factorization.

5006566557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The square root of 5006566557 is about 70757.0954533890. The cubic root of 5006566557 is about 1710.7241961789.

The spelling of 5006566557 in words is "five billion, six million, five hundred sixty-six thousand, five hundred fifty-seven".

Divisors: 1 3 9 19 27 31 57 83 93 171 249 279 513 589 747 837 1577 1767 2241 2573 3793 4731 5301 7719 11379 14193 15903 23157 34137 42579 48887 69471 72067 102411 117583 146661 216201 314819 352749 439983 648603 944457 1058247 1319949 1945809 2234077 2833371 3174741 5981561 6702231 8500113 9759389 17944683 20106693 29278167 53834049 60320079 87834501 161502147 185428391 263503503 556285173 1668855519 5006566557