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5205136017 = 341107617641
BaseRepresentation
bin1001101100100000…
…00001001010010001
3111102202101022021110
410312100001022101
541130003323032
62220300043533
7242662632444
oct46620011221
914382338243
105205136017
112231188804
1210132335a9
1364c4c3853
1437541d65b
15206e777cc
hex136401291

5205136017 has 32 divisors (see below), whose sum is σ = 7198740864. Its totient is φ = 3343155200.

The previous prime is 5205135997. The next prime is 5205136031. The reversal of 5205136017 is 7106315025.

It is a cyclic number.

It is not a de Polignac number, because 5205136017 - 26 = 5205135953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5205136087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8120017 + ... + 8120657.

It is an arithmetic number, because the mean of its divisors is an integer number (224960652).

Almost surely, 25205136017 is an apocalyptic number.

It is an amenable number.

5205136017 is a deficient number, since it is larger than the sum of its proper divisors (1993604847).

5205136017 is a wasteful number, since it uses less digits than its factorization.

5205136017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5205136017 is about 72146.6285906694. The cubic root of 5205136017 is about 1733.0484100171.

The spelling of 5205136017 in words is "five billion, two hundred five million, one hundred thirty-six thousand, seventeen".

Divisors: 1 3 41 107 123 321 617 641 1851 1923 4387 13161 25297 26281 66019 68587 75891 78843 198057 205761 395497 1186491 2706779 2812067 8120337 8436201 16215377 42318179 48646131 126954537 1735045339 5205136017