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6319371434896 = 2413229216672
BaseRepresentation
bin101101111110101011111…
…1000111011101110010000
3211101010101212020102200001
41123331113320323232100
51312014033041404041
621235025033135344
71221362625630232
oct133752770735620
924333355212601
106319371434896
11201703747a483
128608a085a554
1336abb6578900
1417bc05956252
15ae5ac101131
hex5bf57e3bb90

6319371434896 has 135 divisors (see below), whose sum is σ = 13739240978931. Its totient is φ = 2814370121472.

The previous prime is 6319371434869. The next prime is 6319371434927. The reversal of 6319371434896 is 6984341739136.

The square root of 6319371434896 is 2513836.

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

It can be written as a sum of positive squares in 4 ways, for example, as 810324032400 + 5509047402496 = 900180^2 + 2347136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3790863855 + ... + 3790865521.

Almost surely, 26319371434896 is an apocalyptic number.

6319371434896 is the 2513836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6319371434896

6319371434896 is an abundant number, since it is smaller than the sum of its proper divisors (7419869544035).

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

6319371434896 is an equidigital number, since it uses as much as digits as its factorization.

6319371434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 1711 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 64.

Multiplying 6319371434896 by its sum of digits (64), we get a square (404439771833344 = 201106882).

The spelling of 6319371434896 in words is "six trillion, three hundred nineteen billion, three hundred seventy-one million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 169 208 232 338 377 464 676 754 841 1352 1508 1667 1682 2704 3016 3334 3364 4901 6032 6668 6728 9802 10933 13336 13456 19604 21671 21866 26672 39208 43342 43732 48343 78416 86684 87464 96686 142129 173368 174928 193372 281723 284258 346736 386744 563446 568516 628459 773488 1126892 1137032 1256918 1401947 2253784 2274064 2513836 2778889 2803894 4507568 5027672 5557778 5607788 8169967 10055344 11115556 11215576 16339934 18225311 22231112 22431152 32679868 36125557 36450622 44462224 65359736 72251114 72901244 80587781 130719472 144502228 145802488 161175562 236929043 289004456 291604976 322351124 469632241 473858086 578008912 644702248 939264482 947716172 1047641153 1289404496 1878528964 1895432344 2095282306 2337045649 3757057928 3790864688 4190564612 4674091298 7514115856 8381129224 9348182596 13619334989 16762258448 18696365192 27238669978 30381593437 37392730384 54477339956 60763186874 108954679912 121526373748 217909359824 243052747496 394960714681 486105494992 789921429362 1579842858724 3159685717448 6319371434896