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11533256449 = 1121327512
BaseRepresentation
bin10101011110110111…
…11000011100000001
31002202202212010120021
422233123320130001
5142110003201244
65144233413441
7555543030241
oct125733703401
932682763507
1011533256449
11498924a300
12229a56a281
13111a554a00
147b5a41b21
154777c6284
hex2af6f8701

11533256449 has 27 divisors (see below), whose sum is σ = 13745523267. Its totient is φ = 9665370000.

The previous prime is 11533256437. The next prime is 11533256473. The reversal of 11533256449 is 94465233511.

The square root of 11533256449 is 107393.

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

It can be written as a sum of positive squares in only one way, i.e., 1706103025 + 9827153424 = 41305^2 + 99132^2 .

It is not a de Polignac number, because 11533256449 - 211 = 11533254401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11533256429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15356824 + ... + 15357574.

Almost surely, 211533256449 is an apocalyptic number.

11533256449 is the 107393-rd square number.

11533256449 is the 53697-th centered octagonal number.

It is an amenable number.

11533256449 is a deficient number, since it is larger than the sum of its proper divisors (2212266818).

11533256449 is an frugal number, since it uses more digits than its factorization.

11533256449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The spelling of 11533256449 in words is "eleven billion, five hundred thirty-three million, two hundred fifty-six thousand, four hundred forty-nine".

Divisors: 1 11 13 121 143 169 751 1573 1859 8261 9763 20449 90871 107393 126919 564001 1181323 1396109 6204011 7332013 15357199 68244121 80652143 95316169 887173573 1048477859 11533256449