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5344174080 = 213325719109
BaseRepresentation
bin1001111101000100…
…11010000000000000
3111210110000011122100
410332202122000000
541421102032310
62242144110400
7246301505310
oct47642320000
914713004570
105344174080
1122a27130a3
121051905400
136722550ab
14389a93440
1521428dec0
hex13e89a000

5344174080 has 672 divisors, whose sum is σ = 22490582400. Its totient is φ = 1146617856.

The previous prime is 5344174051. The next prime is 5344174081. The reversal of 5344174080 is 804714435.

5344174080 is a `hidden beast` number, since 534 + 4 + 1 + 7 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344174081) by changing a digit.

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, 49029066 + ... + 49029174.

Almost surely, 25344174080 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 5344174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245291200).

5344174080 is an abundant number, since it is smaller than the sum of its proper divisors (17146408320).

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

5344174080 is a wasteful number, since it uses less digits than its factorization.

5344174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5344174080 is about 73103.8581745177. The cubic root of 5344174080 is about 1748.3439113727.

The spelling of 5344174080 in words is "five billion, three hundred forty-four million, one hundred seventy-four thousand, eighty".