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5438020000 = 25547231179
BaseRepresentation
bin1010001000010000…
…11001100110100000
3112000222121001001011
411010020121212200
542114113120000
62255335350304
7251521256500
oct50410314640
915028531034
105438020000
112340690a06
121079222394
1368882271a
14398321a00
1521c62a2ba
hex1442199a0

5438020000 has 360 divisors, whose sum is σ = 16154328960. Its totient is φ = 1794240000.

The previous prime is 5438019997. The next prime is 5438020037. The reversal of 5438020000 is 208345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30379911 + ... + 30380089.

It is an arithmetic number, because the mean of its divisors is an integer number (44873136).

Almost surely, 25438020000 is an apocalyptic number.

5438020000 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 5438020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077164480).

5438020000 is an abundant number, since it is smaller than the sum of its proper divisors (10716308960).

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

5438020000 is a wasteful number, since it uses less digits than its factorization.

5438020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5438020000 is about 73742.9318646879. The cubic root of 5438020000 is about 1758.5184674129.

Adding to 5438020000 its reverse (208345), we get a palindrome (5438228345).

The spelling of 5438020000 in words is "five billion, four hundred thirty-eight million, twenty thousand".