Search a number
-
+
52842277820736 = 263423443188723
BaseRepresentation
bin11000000001111010011010…
…01100101101100101000000
320221002200011012022200020000
430000331031030231211000
523411231441110230421
6304215223551120000
714062504622316615
oct1400751514554500
9227080135280200
1052842277820736
1115923314264088
125b1522bb13000
13236400bb94091
14d0981932450c
156198378a6226
hex300f4d32d940

52842277820736 has 140 divisors (see below), whose sum is σ = 163451546920992. Its totient is φ = 16848262455552.

The previous prime is 52842277820681. The next prime is 52842277820737. The reversal of 52842277820736 is 63702877224825.

52842277820736 is a `hidden beast` number, since 5 + 284 + 2 + 277 + 82 + 0 + 7 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52842277820737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221475130 + ... + 221713593.

Almost surely, 252842277820736 is an apocalyptic number.

It is an amenable number.

52842277820736 is an abundant number, since it is smaller than the sum of its proper divisors (110609269100256).

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

52842277820736 is a wasteful number, since it uses less digits than its factorization.

52842277820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443188770 (or 443188751 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 52842277820736 in words is "fifty-two trillion, eight hundred forty-two billion, two hundred seventy-seven million, eight hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 443188723 886377446 1329566169 1772754892 2659132338 3545509784 3988698507 5318264676 7091019568 7977397014 10193340629 10636529352 11966095521 14182039136 15954794028 20386681258 21273058704 23932191042 28364078272 30580021887 31909588056 35898286563 40773362516 42546117408 47864382084 61160043774 63819176112 71796573126 81546725032 85092234816 91740065661 95728764168 122320087548 127638352224 143593146252 163093450064 183480131322 191457528336 244640175096 255276704448 275220196983 287186292504 326186900128 366960262644 382915056672 489280350192 550440393966 574372585008 652373800256 733920525288 765830113344 825660590949 978560700384 1100880787932 1148745170016 1467841050576 1651321181898 1957121400768 2201761575864 2297490340032 2935682101152 3302642363796 4403523151728 5871364202304 6605284727592 8807046303456 13210569455184 17614092606912 26421138910368 52842277820736