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5427414720 = 26355713259
BaseRepresentation
bin1010000110111111…
…11100011011000000
3112000020122020100000
411003133330123000
542103404232340
62254320200000
7251332156350
oct50337743300
915006566300
105427414720
1123356a8012
121075769000
1368657b500
14396b60b60
1521b732d30
hex1437fc6c0

5427414720 has 1008 divisors, whose sum is σ = 24364005120. Its totient is φ = 1125715968.

The previous prime is 5427414701. The next prime is 5427414743. The reversal of 5427414720 is 274147245.

5427414720 is a `hidden beast` number, since 542 + 7 + 41 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91990051 + ... + 91990109.

It is an arithmetic number, because the mean of its divisors is an integer number (24170640).

Almost surely, 25427414720 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 5427414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182002560).

5427414720 is an abundant number, since it is smaller than the sum of its proper divisors (18936590400).

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

5427414720 is a wasteful number, since it uses less digits than its factorization.

5427414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 5427414720 is about 73670.9896770771. The cubic root of 5427414720 is about 1757.3745634788.

The spelling of 5427414720 in words is "five billion, four hundred twenty-seven million, four hundred fourteen thousand, seven hundred twenty".