Search a number
-
+
10650240000 = 2103254432
BaseRepresentation
bin10011110101100110…
…11100010000000000
31000111020022020201100
421322303130100000
5133302430140000
64520451334400
7524631355251
oct117263342000
930436266640
1010650240000
114575867a44
1220928b1400
13100962677a
14730666b28
15425001a00
hex27acdc400

10650240000 has 495 divisors, whose sum is σ = 39342580563. Its totient is φ = 2774016000.

The previous prime is 10650239989. The next prime is 10650240049. The reversal of 10650240000 is 4205601.

It is a happy number.

The square root of 10650240000 is 103200.

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

10650240000 is a `hidden beast` number, since 10 + 650 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 834978816 + 9815261184 = 28896^2 + 99072^2 .

It is a super-2 number, since 2×106502400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 247679979 + ... + 247680021.

Almost surely, 210650240000 is an apocalyptic number.

10650240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10650240000 is the 103200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10650240000

10650240000 is an abundant number, since it is smaller than the sum of its proper divisors (28692340563).

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

10650240000 is an frugal number, since it uses more digits than its factorization.

10650240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10650240000 its reverse (4205601), we get a palindrome (10654445601).

The spelling of 10650240000 in words is "ten billion, six hundred fifty million, two hundred forty thousand".