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11499345225 = 345223832
BaseRepresentation
bin10101011010110101…
…00001010101001001
31002200102001021010000
422231122201111021
5142022313021400
65141022513213
7554651551554
oct125532412511
932612037100
1011499345225
1149710982a5
12228b135809
1311135106b4
147b133569b
15474828600
hex2ad6a1549

11499345225 has 45 divisors (see below), whose sum is σ = 21309704823. Its totient is φ = 6130410480.

The previous prime is 11499345199. The next prime is 11499345233. The reversal of 11499345225 is 52254399411.

It is a happy number.

The square root of 11499345225 is 107235.

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

11499345225 is a `hidden beast` number, since 1 + 1 + 4 + 99 + 34 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4139764281 + 7359580944 = 64341^2 + 85788^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11499345225 - 29 = 11499344713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4824384 + ... + 4826766.

Almost surely, 211499345225 is an apocalyptic number.

11499345225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11499345225 is the 107235-th square number.

11499345225 is the 53618-th centered octagonal number.

It is an amenable number.

11499345225 is a deficient number, since it is larger than the sum of its proper divisors (9810359598).

11499345225 is an frugal number, since it uses more digits than its factorization.

11499345225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 2391 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 11499345225 in words is "eleven billion, four hundred ninety-nine million, three hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2383 7149 11915 21447 35745 59575 64341 107235 178725 193023 321705 536175 965115 1608525 4825575 5678689 17036067 28393445 51108201 85180335 141967225 153324603 255541005 425901675 459973809 766623015 1277705025 2299869045 3833115075 11499345225