Search a number
-
+
55151074000 = 2453112349653
BaseRepresentation
bin110011010111010000…
…101001101011010000
312021100120110211202101
4303113100221223100
51400422133332000
641200330530144
73661460252131
oct632720515320
9167316424671
1055151074000
1121431386200
12a831b96954
13527bcb52c9
1429528b9c88
15167bbdde6a
hexcd7429ad0

55151074000 has 240 divisors, whose sum is σ = 147225733200. Its totient is φ = 19966848000.

The previous prime is 55151073977. The next prime is 55151074001. The reversal of 55151074000 is 47015155.

It can be written as a sum of positive squares in 8 ways, for example, as 18869967424 + 36281106576 = 137368^2 + 190476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55151074000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55151074001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84457674 + ... + 84458326.

It is an arithmetic number, because the mean of its divisors is an integer number (613440555).

Almost surely, 255151074000 is an apocalyptic number.

55151074000 is a gapful number since it is divisible by the number (50) 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 55151074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73612866600).

55151074000 is an abundant number, since it is smaller than the sum of its proper divisors (92074659200).

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

55151074000 is a wasteful number, since it uses less digits than its factorization.

55151074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

Adding to 55151074000 its reverse (47015155), we get a palindrome (55198089155).

The spelling of 55151074000 in words is "fifty-five billion, one hundred fifty-one million, seventy-four thousand".