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5343881760 = 2532574312329
BaseRepresentation
bin1001111101000010…
…10010101000100000
3111210102110022122200
410332201102220200
541421013204020
62242133533200
7246266150130
oct47641225040
914712408580
105343881760
1122a2533508
1210517a4200
13672182019
14389a18ac0
15214232590
hex13e852a20

5343881760 has 288 divisors, whose sum is σ = 21327546240. Its totient is φ = 1192955904.

The previous prime is 5343881737. The next prime is 5343881771. The reversal of 5343881760 is 671883435.

5343881760 is a `hidden beast` number, since 534 + 38 + 81 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 427276 + ... + 439604.

It is an arithmetic number, because the mean of its divisors is an integer number (74053980).

Almost surely, 25343881760 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 5343881760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663773120).

5343881760 is an abundant number, since it is smaller than the sum of its proper divisors (15983664480).

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

5343881760 is a wasteful number, since it uses less digits than its factorization.

5343881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5343881760 is about 73101.8587998965. The cubic root of 5343881760 is about 1748.3120333436.

The spelling of 5343881760 in words is "five billion, three hundred forty-three million, eight hundred eighty-one thousand, seven hundred sixty".