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5021139200 = 285271123443
BaseRepresentation
bin1001010110100100…
…01000000100000000
3110221221011022002112
410223102020010000
540240402423300
62150124234452
7235266656540
oct45322100400
913857138075
105021139200
112147336220
12b8169ba28
136203506ac
14358c05320
151e5c2ee35
hex12b488100

5021139200 has 432 divisors, whose sum is σ = 16204962816. Its totient is φ = 1493606400.

The previous prime is 5021139191. The next prime is 5021139209. The reversal of 5021139200 is 29311205.

It is an interprime number because it is at equal distance from previous prime (5021139191) and next prime (5021139209).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (5021139209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11334179 + ... + 11334621.

It is an arithmetic number, because the mean of its divisors is an integer number (37511488).

Almost surely, 25021139200 is an apocalyptic number.

5021139200 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 5021139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102481408).

5021139200 is an abundant number, since it is smaller than the sum of its proper divisors (11183823616).

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

5021139200 is a wasteful number, since it uses less digits than its factorization.

5021139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5021139200 is about 70859.9971775331. The cubic root of 5021139200 is about 1712.3823934011.

The spelling of 5021139200 in words is "five billion, twenty-one million, one hundred thirty-nine thousand, two hundred".