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10855614785796 = 2232112499212
BaseRepresentation
bin1001110111111000010100…
…0100000010100100000100
31102102210020110101211120100
42131332011010002210010
52410324244341121141
635031000043204100
72200202153130054
oct235760504024404
942383213354510
1010855614785796
1135059275a5500
121273a83516630
136098ac1a8071
142975b379b564
1513c5a59c00b6
hex9df85102904

10855614785796 has 81 divisors (see below), whose sum is σ = 30162566040789. Its totient is φ = 3289514342400.

The previous prime is 10855614785789. The next prime is 10855614785797. The reversal of 10855614785796 is 69758741655801.

The square root of 10855614785796 is 3294786.

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

10855614785796 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 5 + 6 + 1 + 47 + 8 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9572922632196 + 1282692153600 = 3094014^2 + 1132560^2 .

It is a super-3 number, since 3×108556147857963 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10855614785797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217430916 + ... + 217480836.

Almost surely, 210855614785796 is an apocalyptic number.

10855614785796 is the 3294786-th square number.

It is an amenable number.

10855614785796 is an abundant number, since it is smaller than the sum of its proper divisors (19306951254993).

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

10855614785796 is an frugal number, since it uses more digits than its factorization.

10855614785796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99874 (or 49937 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 10855614785796 in words is "ten trillion, eight hundred fifty-five billion, six hundred fourteen million, seven hundred eighty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 49921 99842 149763 199684 299526 449289 549131 599052 898578 1098262 1647393 1797156 2196524 3294786 4942179 6040441 6589572 9884358 12080882 18121323 19768716 24161764 36242646 54363969 72485292 108727938 217455876 2492106241 4984212482 7476318723 9968424964 14952637446 22428956169 27413168651 29905274892 44857912338 54826337302 82239505953 89715824676 109652674604 164479011906 246718517859 301544855161 328958023812 493437035718 603089710322 904634565483 986874071436 1206179420644 1809269130966 2713903696449 3618538261932 5427807392898 10855614785796