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11237484049 = 1122324192
BaseRepresentation
bin10100111011100111…
…00110011000010001
31002000011022100002221
422131303212120101
5141003243442144
65055030141041
7545322016111
oct123563463021
932004270087
1011237484049
1148472a3100
1222174b1781
1310a11a725c
1478864d041
1545b84ed84
hex29dce6611

11237484049 has 27 divisors (see below), whose sum is σ = 12943226569. Its totient is φ = 9748403720.

The previous prime is 11237484023. The next prime is 11237484059. The reversal of 11237484049 is 94048473211.

The square root of 11237484049 is 106007.

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

11237484049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11237484049 - 27 = 11237483921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11237483996 and 11237484014.

It is not an unprimeable number, because it can be changed into a prime (11237484059) 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, 26819562 + ... + 26819980.

Almost surely, 211237484049 is an apocalyptic number.

11237484049 is the 106007-th square number.

11237484049 is the 53004-th centered octagonal number.

It is an amenable number.

11237484049 is a deficient number, since it is larger than the sum of its proper divisors (1705742520).

11237484049 is an frugal number, since it uses more digits than its factorization.

11237484049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 11237484049 in words is "eleven billion, two hundred thirty-seven million, four hundred eighty-four thousand, forty-nine".

Divisors: 1 11 23 121 253 419 529 2783 4609 5819 9637 50699 64009 106007 175561 221651 1166077 1931171 2438161 4037903 21242881 26819771 44416933 92871769 488586263 1021589459 11237484049