Search a number
-
+
13363747677316 = 2217279213612
BaseRepresentation
bin1100001001110111110101…
…1011101110010010000100
31202022120011112221002120101
43002131331123232102010
53222422423401133231
644231115415413444
72546333061010501
oct302357533562204
952276145832511
1013363747677316
114292596198533
1215b9b98084284
1375c2717bbc3a
14342b4764c4a8
1518294d5cb661
hexc277d6ee484

13363747677316 has 81 divisors (see below), whose sum is σ = 25180112892207. Its totient is φ = 6204654842880.

The previous prime is 13363747677283. The next prime is 13363747677317. The reversal of 13363747677316 is 61377674736331.

The square root of 13363747677316 is 3655646.

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 56544084100 + 13307203593216 = 237790^2 + 3647904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13363747677317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9819064476 + ... + 9819065836.

Almost surely, 213363747677316 is an apocalyptic number.

13363747677316 is the 3655646-th square number.

It is an amenable number.

13363747677316 is a deficient number, since it is larger than the sum of its proper divisors (11816365214891).

13363747677316 is an frugal number, since it uses more digits than its factorization.

13363747677316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1459 counting only the distinct ones).

The product of its digits is 168031584, while the sum is 64.

Multiplying 13363747677316 by its sum of digits (64), we get a square (855279851348224 = 292451682).

The spelling of 13363747677316 in words is "thirteen trillion, three hundred sixty-three billion, seven hundred forty-seven million, six hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 4 17 34 68 79 158 289 316 578 1156 1343 1361 2686 2722 5372 5444 6241 12482 22831 23137 24964 45662 46274 91324 92548 106097 107519 212194 215038 393329 424388 430076 786658 1573316 1803649 1827823 1852321 3607298 3655646 3704642 7214596 7311292 7409284 8494001 16988002 31072991 31489457 33976004 62145982 62978914 124291964 125957828 144398017 146333359 288796034 292666718 535320769 577592068 585333436 1070641538 2141283076 2454766289 2487667103 4909532578 4975334206 9819065156 9950668412 11560335361 23120670722 42290340751 46241341444 84580681502 169161363004 196525701137 393051402274 786102804548 3340936919329 6681873838658 13363747677316