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2065106505 = 357116129311
BaseRepresentation
bin111101100010111…
…0000011001001001
312022220212021120010
41323011300121021
513212131402010
6540530222133
7102114054450
oct17305603111
95286767503
102065106505
1196a7760a0
12497724949
1326bac1717
141583a5b97
15c1473620
hex7b170649

2065106505 has 64 divisors (see below), whose sum is σ = 4187160576. Its totient is φ = 844128000.

The previous prime is 2065106471. The next prime is 2065106513. The reversal of 2065106505 is 5056015602.

It is not a de Polignac number, because 2065106505 - 29 = 2065105993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55800 + ... + 85110.

It is an arithmetic number, because the mean of its divisors is an integer number (65424384).

Almost surely, 22065106505 is an apocalyptic number.

It is an amenable number.

2065106505 is an abundant number, since it is smaller than the sum of its proper divisors (2122054071).

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

2065106505 is a wasteful number, since it uses less digits than its factorization.

2065106505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29398.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2065106505 is about 45443.4429263453. The cubic root of 2065106505 is about 1273.4468346251.

The spelling of 2065106505 in words is "two billion, sixty-five million, one hundred six thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 61 77 105 165 183 231 305 385 427 671 915 1155 1281 2013 2135 3355 4697 6405 10065 14091 23485 29311 70455 87933 146555 205177 322421 439665 615531 967263 1025885 1612105 1787971 2256947 3077655 4836315 5363913 6770841 8939855 11284735 12515797 19667681 26819565 33854205 37547391 59003043 62578985 98338405 137673767 187736955 295015215 413021301 688368835 2065106505