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11255724649 = 13281612
BaseRepresentation
bin10100111101110010…
…01011101001101001
31002001102122001111201
422132321023221221
5141022431142044
65100521124201
7545633036521
oct123671135151
932042561451
1011255724649
114856621584
122221629661
1310a4bc2900
1478ac3a681
1545d2547d4
hex29ee4ba69

11255724649 has 9 divisors (see below), whose sum is σ = 12189645189. Its totient is φ = 10388626560.

The previous prime is 11255724647. The next prime is 11255724691. The reversal of 11255724649 is 94642755211.

The square root of 11255724649 is 106093.

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 2804232025 + 8451492624 = 52955^2 + 91932^2 .

It is not a de Polignac number, because 11255724649 - 21 = 11255724647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11255724599 and 11255724608.

It is not an unprimeable number, because it can be changed into a prime (11255724647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1375129 + ... + 1383289.

It is an arithmetic number, because the mean of its divisors is an integer number (1354405021).

Almost surely, 211255724649 is an apocalyptic number.

11255724649 is the 106093-rd square number.

11255724649 is the 53047-th centered octagonal number.

It is an amenable number.

11255724649 is a deficient number, since it is larger than the sum of its proper divisors (933920540).

11255724649 is an frugal number, since it uses more digits than its factorization.

11255724649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16348 (or 8174 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The spelling of 11255724649 in words is "eleven billion, two hundred fifty-five million, seven hundred twenty-four thousand, six hundred forty-nine".

Divisors: 1 13 169 8161 106093 1379209 66601921 865824973 11255724649