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10006600605 = 3517375320011
BaseRepresentation
bin10010101000111000…
…01001101110011101
3221211101011222110020
421110130021232131
5130443142204410
64332540102353
7502654462461
oct112434115635
927741158406
1010006600605
114275513161
121b332349b9
13c3618b961
146acda04a1
153d8763a70
hex254709b9d

10006600605 has 64 divisors (see below), whose sum is σ = 17739917568. Its totient is φ = 4794716160.

The previous prime is 10006600579. The next prime is 10006600621. The reversal of 10006600605 is 50600660001.

10006600605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006600605 - 28 = 10006600349 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 490050 + ... + 510060.

It is an arithmetic number, because the mean of its divisors is an integer number (277186212).

Almost surely, 210006600605 is an apocalyptic number.

10006600605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10006600605 is a deficient number, since it is larger than the sum of its proper divisors (7733316963).

10006600605 is a wasteful number, since it uses less digits than its factorization.

10006600605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20126.

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10006600605 in words is "ten billion, six million, six hundred thousand, six hundred five".

Divisors: 1 3 5 15 17 37 51 53 85 111 159 185 255 265 555 629 795 901 1887 1961 2703 3145 4505 5883 9435 9805 13515 20011 29415 33337 60033 100011 100055 166685 300165 340187 500055 740407 1020561 1060583 1700935 2221221 3181749 3702035 5102805 5302915 11106105 12586919 15908745 18029911 37760757 39241571 54089733 62934595 90149555 117724713 188803785 196207855 270448665 588623565 667106707 2001320121 3335533535 10006600605