Search a number
-
+
108896040036 = 2231072972
BaseRepresentation
bin110010101101010110…
…1011011010001100100
3101102002011010000000000
41211122231123101210
53241004341240121
6122005352021300
710603355032200
oct1453255332144
9342064100000
10108896040036
1142200a80703
1219131091830
13a365890964
1453b0733b00
152c7522d526
hex195ab5b464

108896040036 has 297 divisors, whose sum is σ = 335983340889. Its totient is φ = 30792400128.

The previous prime is 108896040031. The next prime is 108896040037. The reversal of 108896040036 is 630040698801.

The square root of 108896040036 is 329994.

It is a perfect power (a square), and thus also a powerful number.

108896040036 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 604 + 0 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48898476900 + 59997563136 = 221130^2 + 244944^2 .

It is a super-2 number, since 2×1088960400362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108896039973 and 108896040000.

It is not an unprimeable number, because it can be changed into a prime (108896040031) 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 98 ways as a sum of consecutive naturals, for example, 1122639540 + ... + 1122639636.

Almost surely, 2108896040036 is an apocalyptic number.

108896040036 is the 329994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108896040036

108896040036 is an abundant number, since it is smaller than the sum of its proper divisors (227087300853).

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

108896040036 is an frugal number, since it uses more digits than its factorization.

108896040036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 108896040036 in words is "one hundred eight billion, eight hundred ninety-six million, forty thousand, thirty-six".