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5344133760 = 2735574909
BaseRepresentation
bin1001111101000100…
…10000001010000000
3111210102221010100000
410332202100022000
541421044240020
62242143200000
7246301246620
oct47642201200
914712833300
105344133760
1122a2695879
1210518a6000
1367223c934
14389a82880
15214282090
hex13e890280

5344133760 has 384 divisors, whose sum is σ = 21875817600. Its totient is φ = 1221267456.

The previous prime is 5344133759. The next prime is 5344133827. The reversal of 5344133760 is 673314435.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 1086186 + ... + 1091094.

It is an arithmetic number, because the mean of its divisors is an integer number (56968275).

Almost surely, 25344133760 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 5344133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937908800).

5344133760 is an abundant number, since it is smaller than the sum of its proper divisors (16531683840).

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

5344133760 is an equidigital number, since it uses as much as digits as its factorization.

5344133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5344133760 is about 73103.5824019589. The cubic root of 5344133760 is about 1748.3395144723.

The spelling of 5344133760 in words is "five billion, three hundred forty-four million, one hundred thirty-three thousand, seven hundred sixty".