Search a number
-
+
556683323386656 = 253239238110190129
BaseRepresentation
bin111111010010011001110111…
…1101111100010101100100000
32201000001101221221210010101110
41332210303233233202230200
51040431144421241333111
65251544442133503320
7225154020464144604
oct17644635757425440
92630041857703343
10556683323386656
11151416087390524
1252528b5a7a1b40
131ab810208b8b2b
149b6788bdb9504
1544559264a45a6
hex1fa4cefbe2b20

556683323386656 has 96 divisors (see below), whose sum is σ = 1468024366636800. Its totient is φ = 184707075338240.

The previous prime is 556683323386649. The next prime is 556683323386699. The reversal of 556683323386656 is 656683323386655.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49534600 + ... + 59724728.

It is an arithmetic number, because the mean of its divisors is an integer number (15291920485800).

Almost surely, 2556683323386656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556683323386656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734012183318400).

556683323386656 is an abundant number, since it is smaller than the sum of its proper divisors (911341043250144).

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

556683323386656 is a wasteful number, since it uses less digits than its factorization.

556683323386656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192762 (or 10192754 counting only the distinct ones).

The product of its digits is 10077696000, while the sum is 75.

Subtracting 556683323386656 from its reverse (656683323386655), we obtain a palindrome (99999999999999).

The spelling of 556683323386656 in words is "five hundred fifty-six trillion, six hundred eighty-three billion, three hundred twenty-three million, three hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2381 2868 3824 4762 5736 7143 7648 9524 11472 14286 19048 22944 28572 38096 57144 76192 114288 228576 569059 1138118 1707177 2276236 3414354 4552472 6828708 9104944 10190129 13657416 18209888 20380258 27314832 30570387 40760516 54629664 61140774 81521032 122281548 163042064 244563096 326084128 489126192 978252384 2435440831 4870881662 7306322493 9741763324 14612644986 19483526648 24262697149 29225289972 38967053296 48525394298 58450579944 72788091447 77934106592 97050788596 116901159888 145576182894 194101577192 233802319776 291152365788 388203154384 582304731576 776406308768 1164609463152 2329218926304 5798784618611 11597569237222 17396353855833 23195138474444 34792707711666 46390276948888 69585415423332 92780553897776 139170830846664 185561107795552 278341661693328 556683323386656