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5010198336 = 2632111324679
BaseRepresentation
bin1001010101010000…
…11000111101000000
3110221011120110001100
410222220120331000
540230102321321
62145053534400
7235104661143
oct45250307500
913834513040
105010198336
112141143190
12b79aa4400
1361acbc800
1435759805a
151e4cbd326
hex12aa18f40

5010198336 has 252 divisors, whose sum is σ = 16967789280. Its totient is φ = 1401154560.

The previous prime is 5010198257. The next prime is 5010198341. The reversal of 5010198336 is 6338910105.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5010198336.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1068445 + ... + 1073123.

Almost surely, 25010198336 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 5010198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483894640).

5010198336 is an abundant number, since it is smaller than the sum of its proper divisors (11957590944).

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

5010198336 is a wasteful number, since it uses less digits than its factorization.

5010198336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5010198336 is about 70782.7545098381. The cubic root of 5010198336 is about 1711.1377510867.

The spelling of 5010198336 in words is "five billion, ten million, one hundred ninety-eight thousand, three hundred thirty-six".