Search a number
-
+
505076822048 = 2573217212
BaseRepresentation
bin1110101100110001110…
…11001011000000100000
31210021200200010222211202
413112120323023000200
531233344131301143
61024010141100332
751330163102661
oct7263073130040
91707620128752
10505076822048
11185224775aa7
1281a792576a8
1338822b963a6
141a6355a1368
15d2116b1ab8
hex7598ecb020

505076822048 has 54 divisors (see below), whose sum is σ = 1008764246007. Its totient is φ = 248934251520.

The previous prime is 505076822009. The next prime is 505076822051. The reversal of 505076822048 is 840228670505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 401940784144 + 103136037904 = 633988^2 + 321148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=502532.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505076821993 and 505076822011.

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 8 ways as a sum of consecutive naturals, for example, 293477828 + ... + 293479548.

Almost surely, 2505076822048 is an apocalyptic number.

It is an amenable number.

505076822048 is a deficient number, since it is larger than the sum of its proper divisors (503687423959).

505076822048 is an frugal number, since it uses more digits than its factorization.

505076822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 505076822048 in words is "five hundred five billion, seventy-six million, eight hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 1721 2336 3442 5329 6884 10658 13768 21316 27536 42632 55072 85264 125633 170528 251266 502532 1005064 2010128 2961841 4020256 5923682 9171209 11847364 18342418 23694728 36684836 47389456 73369672 94778912 146739344 216214393 293478688 432428786 864857572 1729715144 3459430288 6918860576 15783650689 31567301378 63134602756 126269205512 252538411024 505076822048