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11160196313344 = 28132160612
BaseRepresentation
bin1010001001100110111110…
…0010010111000100000000
31110111220102021021120120221
42202121233202113010000
52430322040224011334
635422531242312424
72231204032320541
oct242315742270400
943456367246527
1011160196313344
113613015967201
121302b071b8714
1362c52c256c00
142a822918c4c8
151454804c38b4
hexa266f897100

11160196313344 has 81 divisors (see below), whose sum is σ = 24123715343679. Its totient is φ = 5150539130880.

The previous prime is 11160196313317. The next prime is 11160196313351. The reversal of 11160196313344 is 44331369106111.

The square root of 11160196313344 is 3340688.

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 8639366918400 + 2520829394944 = 2939280^2 + 1587712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11160196313344.

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, 694855074 + ... + 694871134.

Almost surely, 211160196313344 is an apocalyptic number.

11160196313344 is the 3340688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11160196313344

11160196313344 is an abundant number, since it is smaller than the sum of its proper divisors (12963519030335).

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

11160196313344 is an frugal number, since it uses more digits than its factorization.

11160196313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32164 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 11160196313344 in words is "eleven trillion, one hundred sixty billion, one hundred ninety-six million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 16061 21632 32122 43264 64244 128488 208793 256976 417586 513952 835172 1027904 1670344 2055808 2714309 3340688 4111616 5428618 6681376 10857236 13362752 21714472 26725504 43428944 53451008 86857888 173715776 257955721 347431552 515911442 694863104 1031822884 2063645768 3353424373 4127291536 6706848746 8254583072 13413697492 16509166144 26827394984 33018332288 43594516849 53654789968 66036664576 87189033698 107309579936 174378067396 214619159872 348756134792 429238319744 697512269584 858476639488 1395024539168 2790049078336 5580098156672 11160196313344