Search a number
-
+
10389646080 = 2832511163503
BaseRepresentation
bin10011010110100010…
…10110101100000000
3222211001221201001200
421223101112230000
5132234222133310
64434542101200
7515315351232
oct115321265400
928731851050
1010389646080
114451758970
12201b57a800
13c97645098
14707bd0252
1540c1c89c0
hex26b456b00

10389646080 has 432 divisors, whose sum is σ = 39534034176. Its totient is φ = 2498273280.

The previous prime is 10389646073. The next prime is 10389646117. The reversal of 10389646080 is 8064698301.

10389646080 is a `hidden beast` number, since 1 + 0 + 38 + 9 + 6 + 4 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20655109 + ... + 20655611.

It is an arithmetic number, because the mean of its divisors is an integer number (91513968).

Almost surely, 210389646080 is an apocalyptic number.

10389646080 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 10389646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767017088).

10389646080 is an abundant number, since it is smaller than the sum of its proper divisors (29144388096).

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

10389646080 is a wasteful number, since it uses less digits than its factorization.

10389646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 687 counting only the distinct ones).

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

The spelling of 10389646080 in words is "ten billion, three hundred eighty-nine million, six hundred forty-six thousand, eighty".