Search a number
-
+
11116539225 = 3652112712
BaseRepresentation
bin10100101101001100…
…01110110101011001
31001200201201201000000
422112212032311121
5140231313223400
65035030003213
7542323011231
oct122646166531
931621651000
1011116539225
114794aa6500
1221a2aa6509
13108210c27c
14776568cc1
15450e0e600
hex29698ed59

11116539225 has 189 divisors, whose sum is σ = 23041422607. Its totient is φ = 5313924000.

The previous prime is 11116539211. The next prime is 11116539229. The reversal of 11116539225 is 52293561111.

It is a happy number.

The square root of 11116539225 is 105435.

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

11116539225 is a `hidden beast` number, since 1 + 1 + 116 + 539 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4001954121 + 7114585104 = 63261^2 + 84348^2 .

It is not a de Polignac number, because 11116539225 - 27 = 11116539097 is a prime.

It is a Duffinian number.

Its product of digits (16200) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 11116539225.

It is not an unprimeable number, because it can be changed into a prime (11116539229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 156570940 + ... + 156571010.

Almost surely, 211116539225 is an apocalyptic number.

11116539225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11116539225 is the 105435-th square number.

11116539225 is the 52718-th centered octagonal number.

It is an amenable number.

11116539225 is an abundant number, since it is smaller than the sum of its proper divisors (11924883382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11116539225 is an frugal number, since it uses more digits than its factorization.

11116539225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

Multiplying 11116539225 by its sum of digits (36), we get a square (400195412100 = 6326102).

The spelling of 11116539225 in words is "eleven billion, one hundred sixteen million, five hundred thirty-nine thousand, two hundred twenty-five".