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5333319936 = 28347229181
BaseRepresentation
bin1001111011110010…
…00000000100000000
3111202200120201120000
410331321000010000
541410312214221
62241115320000
7246110320500
oct47571000400
914680521500
105333319936
11229757a22a
12104a150000
1366cc24819
14388469a00
15213347e26
hex13de40100

5333319936 has 540 divisors, whose sum is σ = 19243043820. Its totient is φ = 1463132160.

The previous prime is 5333319889. The next prime is 5333319967. The reversal of 5333319936 is 6399133335.

It can be written as a sum of positive squares in 2 ways, for example, as 1040449536 + 4292870400 = 32256^2 + 65520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5333319891 and 5333319900.

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, 29465766 + ... + 29465946.

Almost surely, 25333319936 is an apocalyptic number.

5333319936 is a gapful number since it is divisible by the number (56) 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 5333319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9621521910).

5333319936 is an abundant number, since it is smaller than the sum of its proper divisors (13909723884).

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

5333319936 is a wasteful number, since it uses less digits than its factorization.

5333319936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its digits is 590490, while the sum is 45.

The square root of 5333319936 is about 73029.5826086936. The cubic root of 5333319936 is about 1747.1594665153.

The spelling of 5333319936 in words is "five billion, three hundred thirty-three million, three hundred nineteen thousand, nine hundred thirty-six".