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11787789222225 = 325243253232
BaseRepresentation
bin1010101110001000111011…
…1111010100000101010001
31112201220100022001122012100
42223202032333110011101
53021112343020102400
641023122520351013
72324432256115212
oct253421677240521
945656308048170
1011787789222225
11383519a788625
1213a4676915469
1367677867a023
142ca763cd3409
15156962993100
hexab88efd4151

11787789222225 has 81 divisors (see below), whose sum is σ = 21619726140987. Its totient is φ = 6139462180320.

The previous prime is 11787789222199. The next prime is 11787789222227. The reversal of 11787789222225 is 52222298778711.

The square root of 11787789222225 is 3433335.

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

11787789222225 is a `hidden beast` number, since 117 + 8 + 7 + 78 + 9 + 222 + 225 = 666.

11787789222225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4243604120001 + 7544185102224 = 2060001^2 + 2746668^2 .

It is not a de Polignac number, because 11787789222225 - 217 = 11787789091153 is a prime.

It is a super-3 number, since 3×117877892222253 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11787789222227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2214498414 + ... + 2214503736.

Almost surely, 211787789222225 is an apocalyptic number.

11787789222225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11787789222225 is the 3433335-th square number.

11787789222225 is the 1716668-th centered octagonal number.

It is an amenable number.

11787789222225 is a deficient number, since it is larger than the sum of its proper divisors (9831936918762).

11787789222225 is an frugal number, since it uses more digits than its factorization.

11787789222225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 5374 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 11787789222225 in words is "eleven trillion, seven hundred eighty-seven billion, seven hundred eighty-nine million, two hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1075 1849 1935 3225 5323 5547 9245 9675 15969 16641 26615 27735 46225 47907 79845 83205 133075 138675 228889 239535 399225 416025 686667 1144445 1197675 2060001 3433335 5722225 9842227 10300005 17166675 28334329 29526681 49211135 51500025 85002987 88580043 141671645 147633405 246055675 255008961 425014935 442900215 708358225 738167025 1218376147 1275044805 2125074675 2214501075 3655128441 6091880735 6375224025 10965385323 18275642205 30459403675 52390174321 54826926615 91378211025 157170522963 261950871605 274134633075 471511568889 785852614815 1309754358025 2357557844445 3929263074075 11787789222225