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5357113344 = 212321121201
BaseRepresentation
bin1001111110100111…
…10001000000000000
3111211100100112222100
410333103301000000
541432410111334
62243325310400
7246516466152
oct47723610000
914740315870
105357113344
1122a9a50600
121056105400
13674b3576b
1438b6a0ad2
15215497c99
hex13f4f1000

5357113344 has 234 divisors, whose sum is σ = 17023011278. Its totient is φ = 1622016000.

The previous prime is 5357113297. The next prime is 5357113357. The reversal of 5357113344 is 4433117535.

5357113344 is a `hidden beast` number, since 53 + 571 + 1 + 3 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2787840000 + 2569273344 = 52800^2 + 50688^2 .

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 = 5357113299 and 5357113308.

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 4459944 + ... + 4461144.

Almost surely, 25357113344 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 5357113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511505639).

5357113344 is an abundant number, since it is smaller than the sum of its proper divisors (11665897934).

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

5357113344 is a wasteful number, since it uses less digits than its factorization.

5357113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1217 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5357113344 is about 73192.3038577144. The cubic root of 5357113344 is about 1749.7537987250.

The spelling of 5357113344 in words is "five billion, three hundred fifty-seven million, one hundred thirteen thousand, three hundred forty-four".