Search a number
-
+
10980486000 = 2432531155457
BaseRepresentation
bin10100011100111110…
…01110101101110000
31001100020201111001200
422032133032231300
5134442001023000
65013325531200
7536051406501
oct121637165560
931306644050
1010980486000
11472521a720
122165413b00
13105cb844c3
14762470ba8
15443ed7500
hex28e7ceb70

10980486000 has 240 divisors, whose sum is σ = 41838402528. Its totient is φ = 2661888000.

The previous prime is 10980485933. The next prime is 10980486001. The reversal of 10980486000 is 68408901.

It is a happy number.

10980486000 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 48 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10980486001) 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 47 ways as a sum of consecutive naturals, for example, 170272 + ... + 225728.

Almost surely, 210980486000 is an apocalyptic number.

10980486000 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 10980486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919201264).

10980486000 is an abundant number, since it is smaller than the sum of its proper divisors (30857916528).

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

10980486000 is a wasteful number, since it uses less digits than its factorization.

10980486000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55497 (or 55478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10980486000 in words is "ten billion, nine hundred eighty million, four hundred eighty-six thousand".