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5035400000 = 2655171481
BaseRepresentation
bin1001011000010001…
…00001101101000000
3110222220222211020022
410230020201231000
540303030300000
62151354033012
7235532123321
oct45410415500
913886884208
105035400000
112154396604
12b86418768
136232a4737
1435aa78448
151e70ea585
hex12c221b40

5035400000 has 168 divisors, whose sum is σ = 13232949912. Its totient is φ = 1894400000.

The previous prime is 5035399981. The next prime is 5035400003. The reversal of 5035400000 is 45305.

It can be written as a sum of positive squares in 12 ways, for example, as 4923548224 + 111851776 = 70168^2 + 10576^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035400003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3399260 + ... + 3400740.

It is an arithmetic number, because the mean of its divisors is an integer number (78767559).

Almost surely, 25035400000 is an apocalyptic number.

5035400000 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 5035400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616474956).

5035400000 is an abundant number, since it is smaller than the sum of its proper divisors (8197549912).

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

5035400000 is an equidigital number, since it uses as much as digits as its factorization.

5035400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5035400000 is about 70960.5524217505. The cubic root of 5035400000 is about 1714.0020033135.

Adding to 5035400000 its reverse (45305), we get a palindrome (5035445305).

The spelling of 5035400000 in words is "five billion, thirty-five million, four hundred thousand".