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5475133440 = 21134572341
BaseRepresentation
bin1010001100101011…
…11110100000000000
3112010120102121010000
411012111332200000
542203113232230
62303143040000
7252451603110
oct50625764000
915116377100
105475133440
11235a62a877
121089740000
1369341843a
1439d223040
15220a0bb60
hex14657e800

5475133440 has 960 divisors, whose sum is σ = 23974030080. Its totient is φ = 1167851520.

The previous prime is 5475133427. The next prime is 5475133451. The reversal of 5475133440 is 443315745.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5475133395 and 5475133404.

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 79 ways as a sum of consecutive naturals, for example, 133539820 + ... + 133539860.

It is an arithmetic number, because the mean of its divisors is an integer number (24972948).

Almost surely, 25475133440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5475133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987015040).

5475133440 is an abundant number, since it is smaller than the sum of its proper divisors (18498896640).

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

5475133440 is a wasteful number, since it uses less digits than its factorization.

5475133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5475133440 is about 73994.1446332073. The cubic root of 5475133440 is about 1762.5099175540.

The spelling of 5475133440 in words is "five billion, four hundred seventy-five million, one hundred thirty-three thousand, four hundred forty".