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11606823438912 = 263213172311933323
BaseRepresentation
bin1010100011100110110010…
…0101101000101001000000
31112002121020111000100022100
42220321230211220221000
53010131233300021122
640404033455510400
72305364622254262
oct250715445505100
945077214010270
1011606823438912
113775476273119
121375591828400
13662698918980
142c1ab7b35b32
15151dc05b6aac
hexa8e6c968a40

11606823438912 has 672 divisors, whose sum is σ = 39630011436288. Its totient is φ = 3211448942592.

The previous prime is 11606823438911. The next prime is 11606823438923. The reversal of 11606823438912 is 21983432860611.

It is a happy number.

11606823438912 is a `hidden beast` number, since 1 + 1 + 60 + 68 + 2 + 3 + 438 + 91 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11606823438911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3492873283 + ... + 3492876605.

It is an arithmetic number, because the mean of its divisors is an integer number (58973231304).

Almost surely, 211606823438912 is an apocalyptic number.

11606823438912 is a gapful number since it is divisible by the number (12) 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 11606823438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815005718144).

11606823438912 is an abundant number, since it is smaller than the sum of its proper divisors (28023187997376).

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

11606823438912 is a wasteful number, since it uses less digits than its factorization.

11606823438912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 11606823438912 in words is "eleven trillion, six hundred six billion, eight hundred twenty-three million, four hundred thirty-eight thousand, nine hundred twelve".