Search a number
-
+
11145626244 = 223493736713
BaseRepresentation
bin10100110000101010…
…01100001010000100
31001202202110110220000
422120111030022010
5140311240014434
65041545241300
7543125155104
oct123025141204
931682413800
1011145626244
1147aa462a65
1221b0793230
13108815481c
1477a37b204
15453757b99
hex29854c284

11145626244 has 60 divisors (see below), whose sum is σ = 29168759004. Its totient is φ = 3711142656.

The previous prime is 11145626227. The next prime is 11145626249. The reversal of 11145626244 is 44262654111.

11145626244 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 5 + 626 + 24 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4700747844 + 6444878400 = 68562^2 + 80280^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11145626199 and 11145626208.

It is not an unprimeable number, because it can be changed into a prime (11145626249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 285232 + ... + 321944.

Almost surely, 211145626244 is an apocalyptic number.

It is an amenable number.

11145626244 is an abundant number, since it is smaller than the sum of its proper divisors (18023132760).

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

11145626244 is a wasteful number, since it uses less digits than its factorization.

11145626244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37666 (or 37655 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 11145626244 in words is "eleven billion, one hundred forty-five million, six hundred twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 937 1874 2811 3748 5622 8433 11244 16866 25299 33732 36713 50598 73426 75897 101196 110139 146852 151794 220278 303588 330417 440556 660834 991251 1321668 1982502 2973753 3965004 5947506 11895012 34400081 68800162 103200243 137600324 206400486 309600729 412800972 619201458 928802187 1238402916 1857604374 2786406561 3715208748 5572813122 11145626244