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11788378056 = 23327213416269
BaseRepresentation
bin10101111101010010…
…00101111111001000
31010102112220122121200
422332221011333020
5143120311044211
65225425504200
7565061363100
oct127651057710
933375818550
1011788378056
114aaa260a04
12234baa2060
13115b36b640
147db892200
1548edbcb56
hex2bea45fc8

11788378056 has 288 divisors, whose sum is σ = 40978337400. Its totient is φ = 3032709120.

The previous prime is 11788378027. The next prime is 11788378057. The reversal of 11788378056 is 65087388711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3837802500 + 7950575556 = 61950^2 + 89166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11788377993 and 11788378011.

It is not an unprimeable number, because it can be changed into a prime (11788378057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1877290 + ... + 1883558.

Almost surely, 211788378056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11788378056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489168700).

11788378056 is an abundant number, since it is smaller than the sum of its proper divisors (29189959344).

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

11788378056 is a wasteful number, since it uses less digits than its factorization.

11788378056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11788378056 in words is "eleven billion, seven hundred eighty-eight million, three hundred seventy-eight thousand, fifty-six".