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5041600200 = 23325272134397
BaseRepresentation
bin1001011001000000…
…01011011011001000
3111000100122211022100
410230200023123020
540311122201300
62152134553400
7235635615600
oct45440133310
914010584270
105041600200
11215794093a
12b88508860
136246658b0
1435b80dc00
151e7922700
hex12c80b6c8

5041600200 has 432 divisors, whose sum is σ = 21215556180. Its totient is φ = 1063480320.

The previous prime is 5041600199. The next prime is 5041600211. The reversal of 5041600200 is 20061405.

It is a happy number.

5041600200 is a `hidden beast` number, since 5 + 0 + 41 + 600 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 906852996 + 4134747204 = 30114^2 + 64302^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1144402 + ... + 1148798.

Almost surely, 25041600200 is an apocalyptic number.

5041600200 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 5041600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607778090).

5041600200 is an abundant number, since it is smaller than the sum of its proper divisors (16173955980).

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

5041600200 is a wasteful number, since it uses less digits than its factorization.

5041600200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5041600200 is about 71004.2266347575. The cubic root of 5041600200 is about 1714.7052110286.

Adding to 5041600200 its reverse (20061405), we get a palindrome (5061661605).

The spelling of 5041600200 in words is "five billion, forty-one million, six hundred thousand, two hundred".