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205061241036060 = 223251139229116867
BaseRepresentation
bin101110101000000010001010…
…011011011101110100011100
3222220001122220110120011011100
4232220002022123131310130
5203334210410201123220
62004043500021553100
761123120500304413
oct5650021233356434
9886048813504140
10205061241036060
115a37aa906a1702
121abba2aa875790
138a56265c41a96
14388d0349d247a
1518a91a7e57d90
hexba808a6ddd1c

205061241036060 has 36 divisors (see below), whose sum is σ = 622019097809928. Its totient is φ = 54682997609568.

The previous prime is 205061241036059. The next prime is 205061241036061. The reversal of 205061241036060 is 60630142160502.

205061241036060 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 6 + 1 + 2 + 41 + 0 + 3 + 606 + 0 = 666.

205061241036060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205061241036059) and next prime (205061241036061).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2050612410360602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205061241036061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569614558254 + ... + 569614558613.

It is an arithmetic number, because the mean of its divisors is an integer number (17278308272498).

Almost surely, 2205061241036060 is an apocalyptic number.

205061241036060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205061241036060 is an abundant number, since it is smaller than the sum of its proper divisors (416957856773868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205061241036060 is a wasteful number, since it uses less digits than its factorization.

205061241036060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139229116882 (or 1139229116877 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 205061241036060 its reverse (60630142160502), we get a palindrome (265691383196562).

The spelling of 205061241036060 in words is "two hundred five trillion, sixty-one billion, two hundred forty-one million, thirty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1139229116867 2278458233734 3417687350601 4556916467468 5696145584335 6835374701202 10253062051803 11392291168670 13670749402404 17088436753005 20506124103606 22784582337340 34176873506010 41012248207212 51265310259015 68353747012020 102530620518030 205061241036060