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5412916080 = 243251113192767
BaseRepresentation
bin1010000101010001…
…01000101101110000
3111222020100121221100
411002220220231300
542041201303310
62253041324400
7251065012305
oct50250505560
914866317840
105412916080
1123284a4a70
121070936700
13683573130
14394c690ac
1521a31bec0
hex142a28b70

5412916080 has 480 divisors, whose sum is σ = 22488560640. Its totient is φ = 1147115520.

The previous prime is 5412916043. The next prime is 5412916081. The reversal of 5412916080 is 806192145.

5412916080 is a `hidden beast` number, since 5 + 41 + 2 + 9 + 1 + 608 + 0 = 666.

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 (5412916081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1954857 + ... + 1957623.

It is an arithmetic number, because the mean of its divisors is an integer number (46851168).

Almost surely, 25412916080 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 5412916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244280320).

5412916080 is an abundant number, since it is smaller than the sum of its proper divisors (17075644560).

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

5412916080 is a wasteful number, since it uses less digits than its factorization.

5412916080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5412916080 is about 73572.5225882598. The cubic root of 5412916080 is about 1755.8083012940.

The spelling of 5412916080 in words is "five billion, four hundred twelve million, nine hundred sixteen thousand, eighty".