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11298201849 = 3211232212
BaseRepresentation
bin10101000010110110…
…01110000011111001
31002011101120010021100
422201123032003321
5141114314424344
65105035402013
7546660062664
oct124133160371
932141503240
1011298201849
1148785a4300
1222338b3309
1310b0945b4c
147927366db
15461d45569
hex2a16ce0f9

11298201849 has 27 divisors (see below), whose sum is σ = 17943670927. Its totient is φ = 6845269200.

The previous prime is 11298201839. The next prime is 11298201851. The reversal of 11298201849 is 94810289211.

The square root of 11298201849 is 106293.

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

11298201849 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., 8715529449 + 2582672400 = 93357^2 + 50820^2 .

It is not a de Polignac number, because 11298201849 - 29 = 11298201337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11298201839) 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, 3506059 + ... + 3509279.

Almost surely, 211298201849 is an apocalyptic number.

11298201849 is the 106293-rd square number.

11298201849 is the 53147-th centered octagonal number.

It is an amenable number.

11298201849 is a deficient number, since it is larger than the sum of its proper divisors (6645469078).

11298201849 is an frugal number, since it uses more digits than its factorization.

11298201849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

Multiplying 11298201849 by its product of nonzero digits (82944), we get a square (937118054163456 = 306123842).

The spelling of 11298201849 in words is "eleven billion, two hundred ninety-eight million, two hundred one thousand, eight hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 3221 9663 28989 35431 106293 318879 389741 1169223 3507669 10374841 31124523 93373569 114123251 342369753 1027109259 1255355761 3766067283 11298201849