Search a number
-
+
11226612168 = 2332124872
BaseRepresentation
bin10100111010010100…
…01000000111001000
31001222101211222200200
422131022020013020
5140443003042133
65054001132200
7545130425502
oct123512100710
931871758620
1011226612168
114841147982
12221392a060
13109bb6b8a5
1478701cd72
1545a903913
hex29d2881c8

11226612168 has 36 divisors (see below), whose sum is σ = 30407843115. Its totient is φ = 3741904368.

The previous prime is 11226612157. The next prime is 11226612181. The reversal of 11226612168 is 86121662211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11226612168 is a `hidden beast` number, since 1 + 1 + 2 + 26 + 612 + 16 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5613306084 + 5613306084 = 74922^2 + 74922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892821 + ... + 905307.

Almost surely, 211226612168 is an apocalyptic number.

11226612168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11226612168 is an abundant number, since it is smaller than the sum of its proper divisors (19181230947).

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

11226612168 is an frugal number, since it uses more digits than its factorization.

11226612168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24986 (or 12492 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 11226612168 in words is "eleven billion, two hundred twenty-six million, six hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 12487 24974 37461 49948 74922 99896 112383 149844 224766 299688 449532 899064 155925169 311850338 467775507 623700676 935551014 1247401352 1403326521 1871102028 2806653042 3742204056 5613306084 11226612168