Search a number
-
+
52194263040 = 21432570793
BaseRepresentation
bin110000100111000001…
…010100000000000000
311222201111201021122100
4300213001110000000
51323343212404130
635551104110400
73525264626043
oct604701240000
9158644637570
1052194263040
1120154334387
12a147905400
134bca54301a
142751d16c5a
15155732bc60
hexc27054000

52194263040 has 180 divisors, whose sum is σ = 180937145844. Its totient is φ = 13918273536.

The previous prime is 52194263027. The next prime is 52194263041. The reversal of 52194263040 is 4036249125.

It is a happy number.

52194263040 is a `hidden beast` number, since 5 + 2 + 19 + 4 + 2 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8074100736 + 44120162304 = 89856^2 + 210048^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 52194262986 and 52194263004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52194263041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701884 + ... + 772676.

Almost surely, 252194263040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52194263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90468572922).

52194263040 is an abundant number, since it is smaller than the sum of its proper divisors (128742882804).

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

52194263040 is an equidigital number, since it uses as much as digits as its factorization.

52194263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70832 (or 70803 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 52194263040 in words is "fifty-two billion, one hundred ninety-four million, two hundred sixty-three thousand, forty".