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5355736848 = 2434721121741
BaseRepresentation
bin1001111110011101…
…00000111100010000
3111211020202121210000
410333032200330100
541432032034343
62243240010000
7246502004100
oct47716407420
914736677700
105355736848
1122a91a0400
121055760900
13674773077
1438b423200
152152c4ed3
hex13f3a0f10

5355736848 has 900 divisors, whose sum is σ = 21497866236. Its totient is φ = 1277337600.

The previous prime is 5355736781. The next prime is 5355736861. The reversal of 5355736848 is 8486375535.

5355736848 is a `hidden beast` number, since 5 + 3 + 5 + 573 + 68 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 3388636944 = 44352^2 + 58212^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5355736794 and 5355736803.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 130627708 + ... + 130627748.

Almost surely, 25355736848 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 5355736848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748933118).

5355736848 is an abundant number, since it is smaller than the sum of its proper divisors (16142129388).

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

5355736848 is a wasteful number, since it uses less digits than its factorization.

5355736848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 5355736848 is about 73182.8999698700. The cubic root of 5355736848 is about 1749.6039210285.

The spelling of 5355736848 in words is "five billion, three hundred fifty-five million, seven hundred thirty-six thousand, eight hundred forty-eight".