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5435200000 = 29554379
BaseRepresentation
bin1010000111111011…
…01001001000000000
3112000210021202201201
411003331221020000
542112402400000
62255155110544
7251455303066
oct50375511000
915023252651
105435200000
11233a03522a
1210782a2454
13688075c99
14397bca036
1521c26e96a
hex143f69200

5435200000 has 240 divisors, whose sum is σ = 14065349760. Its totient is φ = 2096640000.

The previous prime is 5435199997. The next prime is 5435200027. The reversal of 5435200000 is 25345.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 68799961 + ... + 68800039.

It is an arithmetic number, because the mean of its divisors is an integer number (58605624).

Almost surely, 25435200000 is an apocalyptic number.

5435200000 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 5435200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032674880).

5435200000 is an abundant number, since it is smaller than the sum of its proper divisors (8630149760).

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

5435200000 is an frugal number, since it uses more digits than its factorization.

5435200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 5435200000 is about 73723.8089086558. The cubic root of 5435200000 is about 1758.2144425701.

Adding to 5435200000 its reverse (25345), we get a palindrome (5435225345).

The spelling of 5435200000 in words is "five billion, four hundred thirty-five million, two hundred thousand".