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11206436040 = 23325171919587
BaseRepresentation
bin10100110111111010…
…01010010011001000
31001220222212221020200
422123331022103020
5140422321423130
65052000452200
7544464064122
oct123375122310
931828787220
1011206436040
114830817298
12220901a060
131097926257
1478448a212
15458c6a760
hex29bf4a4c8

11206436040 has 192 divisors, whose sum is σ = 38769269760. Its totient is φ = 2797578240.

The previous prime is 11206436009. The next prime is 11206436053. The reversal of 11206436040 is 4063460211.

11206436040 is a `hidden beast` number, since 1 + 12 + 0 + 6 + 43 + 604 + 0 = 666.

11206436040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112064360402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11206435995 and 11206436013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1164127 + ... + 1173713.

It is an arithmetic number, because the mean of its divisors is an integer number (201923280).

Almost surely, 211206436040 is an apocalyptic number.

11206436040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11206436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384634880).

11206436040 is an abundant number, since it is smaller than the sum of its proper divisors (27562833720).

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

11206436040 is a wasteful number, since it uses less digits than its factorization.

11206436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11206436040 its reverse (4063460211), we get a palindrome (15269896251).

The spelling of 11206436040 in words is "eleven billion, two hundred six million, four hundred thirty-six thousand, forty".