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20105036505 = 3253712075097
BaseRepresentation
bin10010101110010110…
…101000001011011001
31220220011011200020200
4102232112220023121
5312133342132010
613123000412413
71311135663531
oct225626501331
956804150220
1020105036505
118587850554
123a91177109
131b85392a08
14d8a2284c1
157ca0b7cc0
hex4ae5a82d9

20105036505 has 24 divisors (see below), whose sum is σ = 35790590472. Its totient is φ = 10432882944.

The previous prime is 20105036489. The next prime is 20105036537. The reversal of 20105036505 is 50563050102.

20105036505 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 5 + 0 + 3 + 650 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5736699081 + 14368337424 = 75741^2 + 119868^2 .

It is not a de Polignac number, because 20105036505 - 24 = 20105036489 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 6035884 + ... + 6039213.

It is an arithmetic number, because the mean of its divisors is an integer number (1491274603).

Almost surely, 220105036505 is an apocalyptic number.

It is an amenable number.

20105036505 is a deficient number, since it is larger than the sum of its proper divisors (15685553967).

20105036505 is a wasteful number, since it uses less digits than its factorization.

20105036505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075145 (or 12075142 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 20105036505 its reverse (50563050102), we get a palindrome (70668086607).

The spelling of 20105036505 in words is "twenty billion, one hundred five million, thirty-six thousand, five hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 12075097 36225291 60375485 108675873 181126455 446778589 543379365 1340335767 2233892945 4021007301 6701678835 20105036505