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505034323430505 = 351117792541189689
BaseRepresentation
bin111001011010100110111011…
…1011100101000110001101001
32110020011210212100021200220120
41302311031313130220301221
51012143440243244234010
64550041322032313453
7211243345224156411
oct16265156734506151
92406153770250816
10505034323430505
11136a129433a4720
12487870510a2889
13188a56bc75423b
148c9db12513641
153d5c17d5a9e70
hex1cb5377728c69

505034323430505 has 128 divisors (see below), whose sum is σ = 945230769561600. Its totient is φ = 227532572467200.

The previous prime is 505034323430501. The next prime is 505034323430579.

505034323430505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505034323430505 - 22 = 505034323430501 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505034323430501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5630905701 + ... + 5630995389.

It is an arithmetic number, because the mean of its divisors is an integer number (7384615387200).

Almost surely, 2505034323430505 is an apocalyptic number.

505034323430505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505034323430505 is a deficient number, since it is larger than the sum of its proper divisors (440196446131095).

505034323430505 is a wasteful number, since it uses less digits than its factorization.

505034323430505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115215.

The product of its (nonzero) digits is 1620000, while the sum is 42.

The spelling of 505034323430505 in words is "five hundred five trillion, thirty-four billion, three hundred twenty-three million, four hundred thirty thousand, five hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 79 85 165 187 237 255 395 561 869 935 1185 1343 2607 2805 4029 4345 6715 13035 14773 20145 25411 44319 73865 76233 89689 127055 221595 269067 279521 381165 431987 448445 838563 986579 1295961 1345335 1397605 1524713 2007469 2159935 2959737 4192815 4574139 4751857 4932895 6022407 6479805 7085431 7623565 10037345 14255571 14798685 16771843 21256293 22082159 22870695 23759285 30112035 34126973 35427155 50315529 66246477 71277855 77939741 83859215 102380919 106281465 110410795 120452327 170634865 233819223 251577645 331232385 361356981 375396703 389698705 511904595 602261635 1126190109 1169096115 1324975597 1806784905 1876983515 2279087179 3974926791 5630950545 6624877985 6837261537 11395435895 19874633955 25069958969 34186307685 38744482043 75209876907 116233446129 125349794845 180047887141 193722410215 376049384535 426189302473 540143661423 581167230645 900239435705 1278567907419 1980526758551 2130946512365 2700718307115 3060814081397 5941580275653 6392839537095 9182442244191 9902633792755 15304070406985 29707901378265 33668954895367 45912211220955 101006864686101 168344774476835 505034323430505