Search a number
-
+
108492745536 = 26327217247283
BaseRepresentation
bin110010100001010101…
…0111110101101000000
3101101001001020111221200
41211002222332231000
53234143120324121
6121501344021200
710560360056400
oct1450252765500
9341031214850
10108492745536
114201436556a
121903a001800
13a300167966
145372d52800
152c4eb18a26
hex1942abeb40

108492745536 has 756 divisors, whose sum is σ = 393840053568. Its totient is φ = 28452888576.

The previous prime is 108492745531. The next prime is 108492745619. The reversal of 108492745536 is 635547294801.

It is a happy number.

108492745536 is a `hidden beast` number, since 1 + 0 + 8 + 49 + 27 + 45 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108492745531) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 383366451 + ... + 383366733.

It is a 1-persistent number, because it is pandigital, but 2⋅108492745536 = 216985491072 is not.

Almost surely, 2108492745536 is an apocalyptic number.

108492745536 is a gapful number since it is divisible by the number (16) 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 108492745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196920026784).

108492745536 is an abundant number, since it is smaller than the sum of its proper divisors (285347308032).

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

108492745536 is a wasteful number, since it uses less digits than its factorization.

108492745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 108492745536 in words is "one hundred eight billion, four hundred ninety-two million, seven hundred forty-five thousand, five hundred thirty-six".