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11426113449 = 363721072
BaseRepresentation
bin10101010010000110…
…01010011110101001
31002111022020201000000
422221003022132221
5141400041112244
65125445133213
7553102235052
oct125103123651
932438221000
1011426113449
11493381a173
12226a6ba209
1311012acb9a
147a5711729
1546d1b0169
hex2a90ca7a9

11426113449 has 63 divisors (see below), whose sum is σ = 17772944007. Its totient is φ = 7342266384.

The previous prime is 11426113417. The next prime is 11426113451. The reversal of 11426113449 is 94431162411.

The square root of 11426113449 is 106893.

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

11426113449 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 611 + 34 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10224243225 + 1201870224 = 101115^2 + 34668^2 .

It is not a de Polignac number, because 11426113449 - 25 = 11426113417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11426113409) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 106786054 + ... + 106786160.

Almost surely, 211426113449 is an apocalyptic number.

11426113449 is the 106893-rd square number.

11426113449 is the 53447-th centered octagonal number.

It is an amenable number.

11426113449 is a deficient number, since it is larger than the sum of its proper divisors (6346830558).

11426113449 is an frugal number, since it uses more digits than its factorization.

11426113449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Multiplying 11426113449 by its sum of digits (36), we get a square (411340084164 = 6413582).

Multiplying 11426113449 by its product of digits (20736), we get a square (236931888478464 = 153925922).

The spelling of 11426113449 in words is "eleven billion, four hundred twenty-six million, one hundred thirteen thousand, four hundred forty-nine".

Divisors: 1 3 9 27 37 81 107 111 243 321 333 729 963 999 1369 2889 2997 3959 4107 8667 8991 11449 11877 12321 26001 26973 34347 35631 36963 78003 103041 106893 110889 146483 309123 320679 332667 423613 439449 927369 962037 998001 1270839 1318347 2782107 2886111 3812517 3955041 8346321 11437551 11865123 15673681 34312653 35595369 47021043 102937959 106786107 141063129 308813877 423189387 1269568161 3808704483 11426113449