Search a number
-
+
8061120000 = 293454311
BaseRepresentation
bin1111000000111101…
…01110111000000000
3202210210102022210000
413200132232320000
5113002121320000
63411521440000
7403522250403
oct74036567000
922723368700
108061120000
11346732384a
12168b7a0000
139b60c2abb
14566857d3a
15322a70000
hex1e07aee00

8061120000 has 500 divisors, whose sum is σ = 30162451176. Its totient is φ = 2142720000.

The previous prime is 8061119933. The next prime is 8061120019. The reversal of 8061120000 is 211608.

It is a tau number, because it is divible by the number of its divisors (500).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919845 + ... + 25920155.

Almost surely, 28061120000 is an apocalyptic number.

8061120000 is a gapful number since it is divisible by the number (80) 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 8061120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081225588).

8061120000 is an abundant number, since it is smaller than the sum of its proper divisors (22101331176).

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

8061120000 is an frugal number, since it uses more digits than its factorization.

8061120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8061120000 is about 89783.7401760475. The cubic root of 8061120000 is about 2005.0804170870.

Adding to 8061120000 its reverse (211608), we get a palindrome (8061331608).

The spelling of 8061120000 in words is "eight billion, sixty-one million, one hundred twenty thousand".