Search a number
-
+
120011063616 = 2633591916163
BaseRepresentation
bin110111111000100110…
…1111000000101000000
3102110202202222200221000
41233301031320011000
53431240313013431
6131044325332000
711445662131563
oct1576115700500
9373682880830
10120011063616
1146995131404
121b313567000
13b41758c0a2
145b469c64da
1531c5e3d9e6
hex1bf1378140

120011063616 has 224 divisors, whose sum is σ = 360727142400. Its totient is φ = 39113418240.

The previous prime is 120011063609. The next prime is 120011063639. The reversal of 120011063616 is 616360110021.

120011063616 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 10 + 636 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120011063616.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19469751 + ... + 19475913.

Almost surely, 2120011063616 is an apocalyptic number.

120011063616 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 120011063616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180363571200).

120011063616 is an abundant number, since it is smaller than the sum of its proper divisors (240716078784).

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

120011063616 is a wasteful number, since it uses less digits than its factorization.

120011063616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 120011063616 its reverse (616360110021), we get a palindrome (736371173637).

The spelling of 120011063616 in words is "one hundred twenty billion, eleven million, sixty-three thousand, six hundred sixteen".