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5679718502656 = 2811412312
BaseRepresentation
bin101001010100110100110…
…0110101001000100000000
3202002222100100101201010211
41102221221212221010000
51221024030414041111
620025120543003504
71124226501463612
oct122515146510400
922088310351124
105679718502656
11189a834030000
12778926299594
133227977364b3
14158c8524adb2
159cb20ea6521
hex52a699a9100

5679718502656 has 135 divisors (see below), whose sum is σ = 12481037165415. Its totient is φ = 2579592998400.

The previous prime is 5679718502569. The next prime is 5679718502677. The reversal of 5679718502656 is 6562058179765.

The square root of 5679718502656 is 2383216.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5679718502591 and 5679718502600.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4613905561 + ... + 4613906791.

Almost surely, 25679718502656 is an apocalyptic number.

5679718502656 is the 2383216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5679718502656

5679718502656 is an abundant number, since it is smaller than the sum of its proper divisors (6801318662759).

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

5679718502656 is an frugal number, since it uses more digits than its factorization.

5679718502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 67.

The spelling of 5679718502656 in words is "five trillion, six hundred seventy-nine billion, seven hundred eighteen million, five hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1231 1331 1408 1936 2462 2662 2816 3872 4924 5324 7744 9848 10648 13541 14641 15488 19696 21296 27082 29282 30976 39392 42592 54164 58564 78784 85184 108328 117128 148951 157568 170368 216656 234256 297902 315136 340736 433312 468512 595804 866624 937024 1191608 1515361 1638461 1733248 1874048 2383216 3030722 3276922 3466496 3748096 4766432 6061444 6553844 9532864 12122888 13107688 16668971 18023071 19065728 24245776 26215376 33337942 36046142 38131456 48491552 52430752 66675884 72092284 96983104 104861504 133351768 144184568 183358681 193966208 209723008 266703536 288369136 366717362 387932416 419446016 533407072 576738272 733434724 1066814144 1153476544 1466869448 2016945491 2133628288 2306953088 2933738896 4033890982 4267256576 4613906176 5867477792 8067781964 11734955584 16135563928 22186400401 23469911168 32271127856 44372800802 46939822336 64542255712 88745601604 129084511424 177491203208 258169022848 354982406416 516338045696 709964812832 1419929625664 2839859251328 5679718502656