Search a number
-
+
563352226400656 = 247116831863735923
BaseRepresentation
bin1000000000010111011010100…
…1010101101000100110010000
32201212122221120021100111202101
42000011312221111220212100
51042314430324424310111
65314052235013530144
7226442566224362620
oct20005665125504620
92655587507314671
10563352226400656
11153557379271740
1253225528943954
131b245b6b986914
149d185710ac880
15451e13e42cbc1
hex2005da9568990

563352226400656 has 160 divisors (see below), whose sum is σ = 1362928345003008. Its totient is φ = 219148661445120.

The previous prime is 563352226400653. The next prime is 563352226400729. The reversal of 563352226400656 is 656004622253365.

It is a junction number, because it is equal to n+sod(n) for n = 563352226400597 and 563352226400606.

It is not an unprimeable number, because it can be changed into a prime (563352226400653) 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 31 ways as a sum of consecutive naturals, for example, 15682197511 + ... + 15682233433.

Almost surely, 2563352226400656 is an apocalyptic number.

563352226400656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563352226400656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681464172501504).

563352226400656 is an abundant number, since it is smaller than the sum of its proper divisors (799576118602352).

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

563352226400656 is a wasteful number, since it uses less digits than its factorization.

563352226400656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55269 (or 55263 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 55.

The spelling of 563352226400656 in words is "five hundred sixty-three trillion, three hundred fifty-two billion, two hundred twenty-six million, four hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 683 1232 1366 2732 4781 5464 7513 9562 10928 15026 18637 19124 30052 35923 37274 38248 52591 60104 71846 74548 76496 105182 120208 130459 143692 149096 205007 210364 251461 260918 287384 298192 395153 410014 420728 502922 521836 574768 790306 820028 841456 1005844 1043672 1435049 1580612 1640056 2011688 2087344 2766071 2870098 3161224 3280112 4023376 5532142 5740196 6322448 11064284 11480392 12729071 22128568 22960784 24535409 25458142 44257136 49070818 50916284 89103497 98141636 101832568 140019781 171747863 178206994 196283272 203665136 269889499 280039562 343495726 356413988 392566544 539778998 560079124 669496951 686991452 712827976 980138467 1079557996 1120158248 1338993902 1373982904 1425655952 1889226493 1960276934 2159115992 2240316496 2677987804 2747965808 3778452986 3920553868 4318231984 4686478657 5355975608 7364466461 7556905972 7841107736 9372957314 10711951216 14728932922 15113811944 15682215472 18745914628 29457865844 30227623888 37491829256 51551265227 58915731688 74983658512 103102530454 117831463376 206205060908 412410121816 457266417533 824820243632 914532835066 1829065670132 3200864922731 3658131340264 5029930592863 6401729845462 7316262680528 10059861185726 12803459690924 20119722371452 25606919381848 35209514150041 40239444742904 51213838763696 70419028300082 80478889485808 140838056600164 281676113200328 563352226400656