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21300218726656 = 2859248892
BaseRepresentation
bin1001101011111010101111…
…11110001000100100000000
32210102021120212101102110011
410311331113332020210000
510242440321443223111
6113145104013514304
74325614163604322
oct465752776104400
983367525342404
1021300218726656
1168724101a2861
1224801601a2994
13bb67a97c111c
14538d168a1612
1526e1030b4021
hex135f57f88900

21300218726656 has 81 divisors (see below), whose sum is σ = 43258926851161. Its totient is φ = 10467457574912.

The previous prime is 21300218726569. The next prime is 21300218726669. The reversal of 21300218726656 is 65662781200312.

The square root of 21300218726656 is 4615216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14899723520256 + 6400495206400 = 3860016^2 + 2529920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4356761460 + ... + 4356766348.

Almost surely, 221300218726656 is an apocalyptic number.

21300218726656 is the 4615216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21300218726656

21300218726656 is an abundant number, since it is smaller than the sum of its proper divisors (21958708124505).

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

21300218726656 is an frugal number, since it uses more digits than its factorization.

21300218726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9912 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Adding to 21300218726656 its reverse (65662781200312), we get a palindrome (86962999926968).

The spelling of 21300218726656 in words is "twenty-one trillion, three hundred billion, two hundred eighteen million, seven hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3481 3776 4889 6962 7552 9778 13924 15104 19556 27848 39112 55696 78224 111392 156448 222784 288451 312896 445568 576902 625792 891136 1153804 1251584 2307608 4615216 9230432 17018609 18460864 23902321 34037218 36921728 47804642 68074436 73843456 95609284 136148872 191218568 272297744 382437136 544595488 764874272 1089190976 1410236939 1529748544 2178381952 2820473878 3059497088 4356763904 5640947756 6118994176 11281895512 22563791024 45127582048 83203979401 90255164096 166407958802 180510328192 332815917604 361020656384 665631835208 1331263670416 2662527340832 5325054681664 10650109363328 21300218726656